{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 19\n",
    "\n",
    "# 梯度\n",
    "Book_4《矩阵力量》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bef012fa-3a21-46fd-8fce-20668375d5f9",
   "metadata": {},
   "source": [
    "这段代码通过符号计算和可视化来展示函数 $f(x_1, x_2) = x_1 - x_2$ 的梯度及其几何特性。代码首先定义了目标函数 $f(x_1, x_2) = x_1 - x_2$ 并计算其梯度向量，即偏导数组成的向量：\n",
    "$$\n",
    "\\nabla f(x_1, x_2) = \\left( \\frac{\\partial f}{\\partial x_1}, \\frac{\\partial f}{\\partial x_2} \\right) = (1, -1).\n",
    "$$\n",
    "代码接着使用数值网格来评估函数和梯度值，以便进行可视化。\n",
    "\n",
    "在 3D 可视化部分，代码生成了 $f(x_1, x_2)$ 的线框图和等高线图。等高线反映出不同 $z$ 值的水平面，展示了 $f(x_1, x_2)$ 的整体变化趋势。黑色等高线表示 $z = 0$ 的等高线，即 $f(x_1, x_2) = 0$ 的水平位置。\n",
    "\n",
    "在 2D 可视化中，代码在平面上绘制梯度矢量场，展示梯度方向和强度。在每个点，矢量场由单位向量和梯度的强度组成，梯度的大小由颜色表示。梯度的方向表示函数值增长最快的方向。等高线显示了 $f(x_1, x_2)$ 的不同值，这些值沿着函数方向不断变化，使得梯度场和等高线相互叠加，直观地展示了函数的变化趋势。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b6f150fb-2e3e-47da-be78-d13a3393c325",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy  # 导入符号计算库 sympy\n",
    "import numpy as np  # 导入数值计算库 numpy\n",
    "import matplotlib.pyplot as plt  # 导入绘图库 matplotlib.pyplot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "440b10a4-71d6-459f-9ef7-4bb96f904b30",
   "metadata": {},
   "source": [
    "## 定义符号变量和目标函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1f78a11d-cd9e-4046-ac17-69b12142611a",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1, x2 = sympy.symbols('x1 x2')  # 定义符号变量 x1 和 x2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e23d255c-1750-4fb8-8b03-b3f970d1d138",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x_{1} - x_{2}$"
      ],
      "text/plain": [
       "x1 - x2"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f_x = x1 - x2  # 定义目标函数 f(x) = x1 - x2\n",
    "f_x"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04c4522b-36e5-4b56-aef3-c6c52eff7575",
   "metadata": {},
   "source": [
    "## 计算目标函数的梯度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f4048ec8-f38b-4b1b-9ea9-ac406015ae84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, -1]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_f = [sympy.diff(f_x, var) for var in (x1, x2)]  # 计算目标函数的梯度\n",
    "grad_f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d419252c-9d37-4f7e-aadf-d32e075b5361",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_x_fcn = sympy.lambdify([x1, x2], f_x)  # 将符号表达式转换为 lambda 函数以便数值计算"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3185752-fd70-4ecf-ba3a-fbcdaf0743c5",
   "metadata": {},
   "source": [
    "## 将梯度转化为适用于 numpy 的双变量 lambda 函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5b48cd00-cb5c-4ad5-924e-4618bf47b14f",
   "metadata": {},
   "outputs": [],
   "source": [
    "grad_fcn = sympy.lambdify([x1, x2], grad_f)  # 将梯度转换为 lambda 函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebc8ac50-b759-4791-b047-30a0330d996c",
   "metadata": {},
   "source": [
    "## 创建网格以便绘制图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "50059970-7fd9-4168-990f-4728ba4e46a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "xx1, xx2 = np.meshgrid(np.linspace(-4, 4, 41), np.linspace(-4, 4, 41))  # 生成 41x41 的网格"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "702fb98f-66e5-43f3-9f29-ffd1a363c7b7",
   "metadata": {},
   "source": [
    "## 创建粗略网格用于梯度矢量场的绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "07c31e32-c9f5-45c4-86eb-137b93577cfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "xx1_, xx2_ = np.meshgrid(np.linspace(-4, 4, 10), np.linspace(-4, 4, 10))  # 生成 10x10 的网格\n",
    "V = grad_fcn(xx1_, xx2_)  # 计算粗略网格上的梯度\n",
    "V_z = np.ones_like(V[1])  # 创建与梯度方向一致的单位 z 轴分量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "02b1bc14-0bf5-42d7-ad22-37bdb85349ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "ff_x = f_x_fcn(xx1, xx2)  # 计算网格上目标函数的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "61ea6326-dd93-407a-8741-bf77e37668e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "color_array = np.sqrt(V[0]**2 + V[1]**2)  # 计算颜色数组用于梯度强度的可视化\n",
    "l_3D_vectors = np.sqrt(V[0]**2 + V[1]**2 + V_z**2)  # 计算 3D 矢量的长度"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02598d6e-a11a-4cb1-a265-cff4488a7c4a",
   "metadata": {},
   "source": [
    "## 3D 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "84ea670a-c0a1-41e6-8621-24d6c577bc1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1v3hUTExSVCUSiSAQCNBsNllZWRFfi0ajFAoFVlZWhNClUil+83d+B4DxY8d47uIlstkse3t7rK2tUSgUcLvdVKtVQqEQTqcTi8VCrVZDo9Gws7PDxMQEfVYrX3/juwCcMfZjMBjuWozPnTsnvvbVm2+RaVSx95g5ZR3F4/F0mKNSqRQ6nY56vU4wGOzox7aXqX9n+woAHx1eY+vmzUPmKNWpPD4+Lq7R5XLhdDoZGRkhk8mw6dvmX0S+yhnLEk/3HkWn1WK32+XYz13ysJuYpKhKJBJhPBobGxMjMOrpbWBgQPQ1W60WPp+Pnp4e3vzhDwH47Od/mUAgQKPRYHFxEbPZzODgIJFIhFarxTPPPANAoVBga2uLRCLBxMQE8XicH7q3CBZyWLQ6fuX4WazvnYLL5TJut7ujH6ueOicmJsQ1qkL3g6QPgE9OrDDudHaYowCq1aqYcR0eHmZvb49Wq0WhUMBoNCovAo0qL8YVw9RGY4CVtdubo7r1jHt7e3nVe5N9khg1+/ydxV+mXq9z5coVLBaLMEeB0l8eGxvDarU+NILxYfEwm5ikqEokjznpdJpQKERPT4/oe5bLZVKpFBsbG9hsNgAqlQoej4eZmRm++crLlMIRNAYDv3zpSaxWK319fSI8fXt7m8HBQRYWFgBFjGOxGA6HgyNHjojv/S+fvwbAk0PjRINBoiin4Gq1ysrKijAIJZNJ4vF4Rz82l8uxv7/P5NwsP975FgAfG1lgc3PzkBi7XC4WFha6loAbjQYej4cfZl1UmnVGtb1s2Cep1+v09PSwt7eHRqPp6MeGw2FKpdKhnnEymWRLrziQnxk6IcT4xIkTh8R4ZmaGYrFIPB6nVquRz+dF6djusGPtfbzF9mE1MUlRlUgeY9RT58GeoV6vZ3FxUYQ9ZDIZisUiTqeTZDLJb/27fwfA1KmTnD99Gq1WS7PZpFAosLe3x8rKiujHqqfOubk50Y+t1+tsbm/z43gQgL969Axzo5Ps7u4yNzeH3W4nk8ng9XoJh8P09PQwODiIz+djcHCQTCYDwNraGt8M3KRYr+E09jJcbDLfJnTdxDibzRIIBFhcXOy4xhcD3wPgc7NnGBgYIBAI4PP5hDnK5XLR29tLKpVidHQUp9MJvF+m7u3txTY9xI23fGjQsFBxkGvmbmuO6u3tRaPRkEwmOXXqFBqNhlqtxh/s/BFblW2etlxmxaCUvnU6HaOjo4/d2M/DZmKSoiqRPIZUq1XcbjfT09MiCKHRaOByuRgdHRWn05GREdxuN1NTU8L9ms3leOv57wPwmU9/Gp9PKb1ms1lMJhOrq6tCrKLRKLlcruNEl0qliEajRK1GMrUKQyYLG702tra2OoTObDYTCoU4efKkEONKpcI777yD2Wymt7cXt9vNn3neAOBp+zTz8/PidHOrfmyr1ep4iQiHwwSzCTYrMQA+7tygVCpRq9U6zFGZTAa3201/fz/pdJp0Ok2lUiEajbK0tMTw8DD/xvd1AOb1o8wNTd2VOaqvr6/jGoPBIDcb26S0KQZHHMzb5wmFQuTzeTH2o95vq9WK2WzG4XB0lJYfNR4mE5MUVYnkMSMWi5HL5TqMR+l0mmg0ysLCgiivFQoF9vf3O1zA1WqV/+MP/4BaJoPOYuH/8ff+U0w9PbhcLkZGRkRpU6fTEQwG6evrY3x8nEajgU6nw+v1YjKZWFlZ4f988ZsAPOUYJ5vOdAhdJBIhn893iHEymSQWi3HmzBnxMA0k47yZiwDwidEFPB5PhznKYDBQKpUwGAzCHNXej93d3cXhcLBjKtCkxUb/ONVwGv0tzFEnT54UXwuHlTLv5cuXyWaz+Hw+Xo0o5exTpgXi8TiNRgONRnNX/Vi1Z9wcapFKp+jR9nDMeoStra2uYjw2Nsbo6CilUoloNMr+/j52u52enh5arRYtc40px9wjJbYPg4lJiqpE8phwNRTln/3gBZ4YsvOxpTn8fj92u51kMklPT8+h01K9Xu9wAati/M3vKWXSjacuU6tUCO7vs7CwgEajET3VUCjE+fPnMRgMFAoFvF4vfr+f0dFRms0m13e2+d6eC4DPzq8yPT0NKIKxs7NzqB/bLsYq+/v7fD26Q50WK/3DXJhb7TBHqdfjdruJRCLCHBWLxWg2m6InajAY+LbrKwCcQBGv9jL17u4u4+PjXcVYdSrbbDauRXaJtJSy9OdWn8WqM7O5uUk+nxfJUaC8wPT09LC+vi5eDtpneP8s9EXl/prX8e367ijGer2efD7PkSNHxMm4Ui/zz3b/U0xZKx81/C16NQO0Wi3K5TIjIyMMDg4+8L3JW/Ggm5ikqEokjwHFYpE/fvUN3o2nmHAMMjc3R6lU4tq1a/T19dFsKoELzWaTaDTK3Nxch9C53W5sNhvDTic3XngRgF/6hU9RKpVE6H2z2SQcDqPT6TpOncViEUAIHcAfXX2DcrPBuMnCaB3cbjelUol4PM7q6qrYQlOpVHC73czMzIgytSp0Y2NjvOyNAvALk6tibrVdjAOBADabraOvub+/Lzbd+P1+wrUc17NBtGj42NiGEDC1H7u8vHzIHHWwH+t2u7lpDAFwwb5Or8bI1tYWU1NTh8R4cnISjUaD1+ul1WoRDocxGo2MjIyQL+Z5I/0WACuapbsyR3UL1Hg9+H1qmgomfS8b8yeolCtCjKvVKn6/n2q1SjabFff6YVqtdysTk1arve/iKkVVInnECYfDlMplXo8lAfjkyiLxeJxMJsOZM2c6YvwikQgnT54kk8ng8XhEz3BsbIxKpcJvfekvaJZKGAZs/L2/8gX63zsZNRoNdnd3sdvtjI6OAoqo7e7uMjAw0BHC7/V6+da+ckr95aUjLCwsEAgEhBhnMhl8Ph+pVIpCocD4+DjRaBS73U6j0SAWi7G0tESsWuT1uFKWXS7rmVmdEW5hVehmZ2e7inF7CP8X3/gyAGcH55geHCUYDBIIBDAYDDgcDrxeL319fZRKJTQazaF+bKFQYGV1hf/v238JwBnzIm63u6tTuV2MrVYrbreb06dPYzKZqNVq/MT/Mtl6FhMmppjE7Xaj1+vJZDKMj48fMkcd7BmryVGpfi/kYMP6BNFItEOMzWYz9XqdRCLBqVOnhMlsf3+fra0t8fnVKVBohZhznMNms913serGg2hikqIqkTyiNBoN3G43w8PDeCp1kqUyAyYTI/UKrZZJnOhAeRjr9XrxgDaZTIRCIXQ6HU899RSgnBr/5E/+BICjTz1FIh4n8V7fsFqtsrS0RKPRABAu4Pn5edHTq1Qqyn5V5wivJ5U+6Kenl7h58yZOp5OBgQEAEYQ/NTXF8PCw+FmuXbtGtVplcHAQr9fLl+K7tIA18yBPHT0lHqSRSOSW5qj2U2c+n2dvb4/Xq8oJ85POI+h0OgqFQoc5qlarcfXqVYxGo1gQoJa4x8bGmJ+fZzO/R6yaxqQxsG6YZnpmUtzb/f19ms3mITE+mByVzWa5UngHgPOOsyxNLpHNZvF6vdhsNjKZDJlMRvSM5+bmxClTHRuamJigx6Jj26Wcdq2pCXqGezrE2O1209vb2yHG+/v7aDQannjiCfG11wN/yM367xHNn2Yp+ffENfb29tLT04PD4RDu5fvJg2ZikqIqkTyCZDIZrl27xtraGjabjW++pjyszwzbmZmaEkKnPoynpqbo7e0F3ncBq5m6oDyMr1y/zv7bVwD4r//u32Vubk6EKPT39+P3+6nX6+TzeZrNZofpKRaLkckoZqQ/3rlKo9Vi1eagHomztLTUYY7a29tjYWFBnDpVMV5aWupwKv9gW8n6/YRzUYTwq+aooaEhyuUyZrMZr9dLT09PRz82EAhQr9fRTtrZCyYxavWsYScQCHQV4xMnTnSIsd/v5/z58xSLRXw+H19O/RCADf00jUqNdDpNb2+v2Npzu36seuo0mA248ABwbuCscCofO3ZMXLdqjnrmmWcol8tEIhEx8qSe6IM9N6i3alhbDs4sPHmoTN3NHHUwxnF3d5eI5WUApvrPMGed6zBHqSfda9eudWz80ev1Qmw/bB4UE5MUVYnkEcPv96PT6bhw4QLpdJptt5vnd5Ry69NT40QiEQYHBymXy2QymQ4XcDabJRwOMz8/37HJxe/38yff/x6teh3LmJNPnb/A1tYWk5OT4gFaq9XY3t5mYWGBoaEh8vk8+/v7+P1+ent7GRgYwOPx8KUdxSH7kaGJjp5hMBikWq12nOii0SjZbLZD6NLpNG/4dvBUsug1Wr6weoaeupL0dP78eXp6esRpzuPxMDIyQrPZxOVy0dPTQzqdZmpqioGBAf6PbcV0ddw0Rp/BxPD4FPC+OcpoNB4yRzUaDXGNPT09FMpF3o14Afjc4jPM9M/g8/l49913GR8fJx6PE4/HqVQqlEoljhw5cqhMPTc3x/XKJuVmmUHDIHV/DdvEyG3FWC0Zj46Ocvz4cXHdz2//HgBzuhPCtZxMJtHpdBw9elR8rrfqxwaDQcZmrbwauQloGNVeOBSo0Wq1SCaTbGxsdIjx5uYm5XL5/d8dzStUy1pG+i8yPDT6gTuRHwQTkxRVieQRQY0anJiYEHm1drudb1zfotxoMmbt45OnT9Co17l27RoajQabzYbX6wWUU5ndbu8oC4bDYSqVCsvLy3z9K0rP8MLHP8b+/j7Ly8sd/dhwOMzs7Cx9fX1oNBp0Oh3FYpFz586Jh6knGeedVAwNcGlgRJRSg8EgMzMzzMzMAO/3Y20226F+bE9PD5s9yqzmpZFZivEUmVqN9fV18efS6TS1Wo2nn366Q4z9fj/9/f2KCSkR5xv7VwB4ZmBRlJ/Vk/Gt+rHqDK96jb6eJIVWhQFDH0f75/D5fJhMJlE2B0WMARwOh/jfaij/5OQkzWaT11KvA7DYnGdl/fb92FsFalzdeZuI1g3AUzOfYUA/wu7uLrOzsxgMBvb396nX62LbkBqkYbPZCAQCAKyurnIto5T57ZpVMtHaXZmjgsEgKysrHS9j7yR/j6Ypgrb3HxGLnaRYLJJOpxkaGqLVatHb24vD4RA/173gfpuYpKhKJI8AavLR0tJSx4MuHA7zdiYPwCdXFqiUy/h8PtbX1ztKwOoDWo0iVEupNpsNh8PB1d1dwu9eBeDv/uqvde3HLi0tidVvoVCISqXS8TCOxWL80Y03ATg/Osm5tQ3S6TThcJgnnniCXC6H1+ulVCoRiUQYGxujWCySzWYxGo0dYRVfu/4NAE7pbOIUDO8H3N9KjI8ePSq+9q3tN0g3y1j1Jp6dOkIwGCQej1MsFhkfHyccDtPX14dWqxX7Y9UytVoCXlhY4Ms+5We6OLDB9s3tO4rx8PAwu7u7zMzMMDQ0RK1Wwx/1827mKmjgSM86Ho8Ho9EozDd3O8NbHY3TirUYNy1gqPSy5eoM1FDv46lTpzCbzTSbTRKJBC+++CKDg4MiOWpL9y3QwIThSean727BwUGncrp0RRFUjYnRvudI10oUi8WOOeNwOMybb77J8PCw+FnUvrnD4fi5xn7aT621Wu1Dm9eVoiqRPMSoD7q+vr4OEVGNJ87pGX7yHWUE5qxD2T/aXu5NJpOkUqmuYnzhwgX0ej3lcpn/5jf/KbRa9M/NsjapLBI3GAxkMhlmZmbEWI6aHDQ2NtbRj3W5XPT39/NKLg7AZ2ZX8Pl86PV68TBWS9IajYaPfOQjwPv93UgkIoRuq5jEX0hj1Gj5tWMX6TcpJ7Vu5qhqtSoErL1nvLOzw8tlZW702ZFVBvr6iYejTE9PC3NUq9Vic3OTUqmE3W4XyVGJRAKTycTGxgaVVo1XksrKuZXa6KF+bCQSuaUYqyXgZrPJG6m3aGqaTJjGubB8QYlx3NwUf8btdosRoeHhYTEXfHCG93d8fwjAVPMIqVTqkBgXCoVDpfRUKsWTTz75fqBG6hrF7D4adFhK6x3bhiYnJ+nr6xO9y26BGjs7OwwNDdFjvgJFGDR+BJ833NWprNFouHDhgvia2jM2mUz4/X6azTIt7T+F5tNoOI/NNojdbr9rE5J6alX/34eBFFWJ5CGlVCoJYSoUCng8HlHam5+fZ2xsjC9f36LWbDJt7WV5ZAi73Q683zPs7e3tOHX6/X60Wm3Hwy+dTvPid5Xe4yc+9znm5uZIJBKEw2GsViuxWIxYLEahUCAWi7G2tib6bMViEa/Xy8LCAt5ijq10AoNWy1y5iWPMIcrU6gN6dHS0Y62auoy8/Xr+zUvKifnS4DTxYIg4itDV63VRSgXlZJxOpw+JSDgcZmZhjpde+hoATw0scvPmzUNi7HK5uorx4uIiGo0Gn8/Ha8VtKs0ag5o+5oxOUUpVM5XbT2+qOapbz9hv2oeCYlBSzVEbGxuHzFEXLlwQn3GhUCAUColAje3gdQLlHTQtDUdtFxkfVOaM1X7s4OBghznK6/ViNpsPuYB3G8oqvgnzeVZGjhKJKE7tZ555hkajQSKRYHd3V6zVU01oJpOJeDz+XliFBlf02wCUY0eZmR6/ozlKjXFUncpWqxXf3u9jtHwXrfZdhu2/Tjab5/XXX6evr0+UvdU2ht1uv6Vwyp6qRCK5LZFIhGKxeOjUmUwmOX/+vIjN+/O33wXg0vgIuVxO9Jb29vaYnZ3teNC53W7Gx8c7HnQulwtXLKosI9do+G//9t8W4fEbGxvievb39xkYGGBhYUHMPMbjcarVKqOjowQCAf4srPT6TtuGOXPkaEc/9mCMX7sYtwvd9u4OL2SU3t8Xlk4yMzzD7u4ui4uL2O12KpUK8Xgcj8eD2WxmYGAAt9uN2WymUChgsVhYXV3lR9EtcvUyDr2F8UoP82vz4mdRRWJ1dfWQGLefOg0GA2/cULJ+Pz5+jtnJWSKRCO+8847YfuNyudBoNGQyGWZnZzteatQZXsfMENs3lJVz4wUnpUbpjuaofD5PtVoVgRqtVouve5QlB6OaeUqpGq6Ui3K5TKFQ4NixY+KzvlU/dnd3F6dzlGT+DWjArOVZtre3O8xR6shR+1o9UE7SsViMgYEB/H4/Zc3b1EwJaPSxPPU58b1vteAgGAyysLBwqGc8MvYytTqYjb9Io9EiFAqxvr7e8Tu6tbVFq9UinU6Le5vP50XrQn1x+7CQoiqRPESoQudwODp2nHq9XiwWiygBOxwO9pMpbqayAPz1J84xbDGzu7tLOp1mdHSUUEiZzyyXy7RaLVZXVzvMMaFQiPn5ef77f/UvAXAePYKmVGasixhPTExgsVioVqtYLBai0Sjz8/NijrLeaPCt15UT0LPDk3g8yuhILBajv7+/Q8AObnIBiMfjpFIpMg4Lye0SAz1mjhgHxclRFeNGo0Emk+Hs2bMdYnzjxg0sFoswIX0x8goA5y1TTE2+7/hVy9QH+7EGg+GQUzlZzrDdULbsPD18gkQiQaFQ4KmnnuoQ40AgILb7JJNJEaihjjG9mPoJLVqMa8ZYcnaODe3s7HTM8KpifDA5yuv14m68rfxMzo+xYFtgf38fnU7H5OQk4XCYZrNJKpWiWCwyMTFBuVzGaDSSyWTEDG+8eoNCJoJeY6bot7O8OHdHc5Qa46gKb7PZ5K39/x2AIfPHSCTSVCoRIpEIPT092O12otEoDodDlHsP9mOVF8YpokllcUOl/AyhgLurGC8tLR2KcVQNU8lkklAoRLFY5Pz584f+e/ogkKIqkTwk5HI5gsFgR8B9uVzG6/UyMzPT8aBzuVy8kczRAk6MjzLap2x0GRkZEQ8w9WFstVrR6/WiZxiPK33PiYkJarUaL35DMQU9+/GP3bYf22w2yeVy7O3tsbq62vGg+8bVt4nVyvQaevj1UxfQvScOq6urNBoNvF4vjUaDQCDAwMAANpuNXC5HX1+f6BkvLS3xe28qIfyX+scpFQq3Xaum/iypVIrjx4+LrwWTMd72KKfdX5w5TTAYpFAoiOSofD6PRqMR37tbCdjpdHJFu0ej1WShd5xKIIvxgBj7fD4MBkPHiV5NjnrmmWeoVqskEgl+GPkRaGCjZ12suTMYDOLe3s0Mr3lcQzoSRa8xsGQ5xc2bNzvMUf39/ezs7IiesSqwr776qpgt9Xg8eHRfBg04WifZWDsurvt25qiDMY7+fTc1++vQAqf1sxh7h/B4PB2BGplMhldeeYWBgQGxbUi9ppmZGebn5ymW/wKo0GxMUWeBlZUxcT23MkcdDNRQ7137qfqDRoqqRPIQEAgECIfDDA4Oijxbde6xXehSqZRwqv4vf6qExH9kZpKdnZ07irF66lxdXcVqtVIul/mjb36DYiiMxqDnb//iL4k+XD6fp7+/v6Mfq45rtI9VqA+6d1tlAD4+tUAhkzk0kqHX6wkGg1y6dAm9Xk+j0SAYDPLWW28xOjpKoVBgc3eHbwe2APjszIaIGlT7cQfDKtS1amo2MSjmmB/nPNRoMmtxcHJkjnA4LEL41b/r8/nY3t7G6XSK01SxWKRSqXD8+HEMBgNfevsFAFYbY0y1BWqo/djp6emuYqyeOg0GA3s5P3FNAi1aPrn4Caz6Pra3tykWi/T394txp0QigV6v75hxbZ/h/V7sjwCY7TmK3x28oxjXajUikQjHjx8XJ+NqrcyrAWWsx9E4K8xRqgv8YD+224KDZrPJyGyEVLqAUTdGKTlOvBDoqESoYnzp0qVOMfb7mZ+fJ5fLKfGMxj/E0APVyjP09/UII9zdLDg46FT+MNOVpKhKJA8w9Xodt9uN0+lkYmICeD+yT6PRYLVaxYM3FosxNDSkmIJSGW7GEug0Gk4N2lhZeL9nGI1GlbzaW4ix+gCq1Wr8+y/+OQBz585x7uRJyuUyW1tb9PX1CXNUo9EQzlA1N7bdBTo1O8M331RKv2dM/dRqtUMjGRqNpuPUEYvFqNfrHXOmX7z5JqVmnZEeC2NVHW63m2KxSCKR6Hg5KJVKeL1e5ubmDpljpqameC2uuKE/NrrB9vb2LcX40qVL4np8Ph92u53e3l6lX1zLEConADhvXaVcLtPT0yMyle/Ujy0UCvh8PgL9QSjBunUNY7OHzc3NrmK8vLxMT08P4XBYOHF7e3ux2WxEoxGu5V4CYFZzrGty1EFzVLcYx+3492n0FDBpBzg5/QsUCyWRHKXRaEgkEgQCAYLBIKOjo7RaLfx+v1jorp6MN5O/CYCudB59r+Gutg01m00xZ+xwOAiFr9PSKuXsyYm/TSGv49q1a6RSKbFtKJFI0NPTQyaTYWlp6bZl6g8TKaoSyQNKKpUSbsp2F2ggEGB9fV08RNTZ0vX1dSqVCl6vlz/e3AXgyKCNPoPiDjaZTHg8Hux2e0c/1ufzYTabO0qXgUCASq3G1ReU09ivfuFXhRgfO3bskDnq4sWLwo1aq9VIpVKMj4+TyWT4STRAulLGpu/hU6vH6HvvZHS3LlBV6L4TUX6mz84cYXFhgb29PQYGBjhy5IgwKKnzsao5ymw2o9Vqxf7YVK3I60mln7tUsrCwunBXO06npqaE4cVms/Gtd5WXjTGjg+Nz6ySTSV566SXMZjN2ux2Px4NWq6VUKmG1Wm+ZHPWHN/8UgHXdqiib306MHQ4HPp9PBGq0Wi2uRl4l10hhaBkZrs91lFIXFhZEX7vdHNVeYVBneGv2bSjAbO9HCAXDh8RYq9WK0nV7zvK1a9cYHh4mkUgQS/hImpRy9uTAX2HINgTcecGBWqZWT502+w9o0sSgP45eN0sq5WVkZKQjsnFvb49kMklvb68oB+fzeXp7ezteGD5spKhKJA8gPp8Po9HYUboMBoM0Go2uO07VU6eaZvRSUFmJ9oUzJxgfHxdxgWNjY2SzWbJZxcCUz+dZXFzs6MeqGa9/8vz3qKXTaM1mPn3uHHq9/rZi3NfXRzwep7+/vyM27598S9kP+vTQOJFQiAjKSa3RaHDs2DEhGNlslkAg0GE8UR/GQ1PjvHpdMQV90rnE5uZmhxire1vbzVHqnGmtVhMn+m9ltmjSYlY/wKXVEx1l6oNr1dR+bLvQqU7layipSL8y8TSVSoVYLHbIHLW1tYXVahU7XZvNJoFAgKGhIebm5vCWfMSqMQzoWTEuMzUz1fH5t8/wqp9/tVrtSI6Kx+NczSqn1CMDF1lyLpNOpwmFQiwsLJDNZkmn05TLZaLRKOPj4xgMBrHVRR0b6jFr+dG+8u9oYgv0jvYeMkd12zbU09PTEcJ/M/C7oKlj0i5Qzg7iTrhJp9MUCgXxu2cwGMjn810XHKgzvNnC8zTroNd9mps3bzI7O3vIHDU2NibWE7aXhYeGhrifSFGVSB4g/vTVdzHnk5xeXerY0OJyuXA6naKPpDpVBwYGOvpIe3t7ePNFwsUSJr2eZ+ZniEaj6HQ6Ll++LL6POsM5NDQkeob5fJ5MJsPc3Bw9PT38uz9S+nSLF86xvrJy6GR80Byl9rVGRkYA5UF3besmr6YVgf+NE+eZd4zi8XgYGhrCaDQKc1Q0qvwZp9NJsVjEarWKsaG1tTX+wneNWrPBvGUAfSLHYhcX6J2WeddqNV70fwuAX5g4TiAQoFarCXOU+lKgBj1068dqtVpMUwP43o2g1+hYqA0TiUS6ivGRI0cOifGlS5dEitE348oc54J2nlpRuQ51McH09PQdZ3hdLhe9VgsBzSa04Ej/JSHG6glzcHCQYDCIVqvlmWeeodlskk6nuXLlCvl8nrGxMcLhMAndG9Q1ZYzNIU4sfFTcx9uZo9pPneo1lu0/hiaM9n6GiZFJccofHh6m1WpRKBR466230Gq1Yq0eKP1qi8XC2toa9YaPWv1taGlJxE92vNR02zbULcbxfiJFVSJ5QHhjy8VvPv8aBp2W/3D8KPv7+2SzWTKZDGNjYySTSZrNJnq9nkAg0GE8UoVuenqa/+BTNtI8PTeN3+M5JMZut5uBgQEhGKoYDw8Pc/ToUcrlMr59P9d+9GMAPv+Ln2V/fx+LxUKz2aRcLh/qx6pl6nq9Drz/oHMboNSoM9VnY7nXxubmZkevy2azsbOzw/r6Ov39/WL7yZUrV+jv7xc7R//1tnKKetYxe1cReQddoIlEghthH65aEi0aPjN9EkOl2WGOarVaRKNRXnrpJWVheD4vNu6k02mWl5ex2Wz8uz1FmFf0EwxabB0n41uZo7Rabcc1NltNdlrKbOpHZ55jvn+eQCDA9evXGR4eJhqNEo1GyefzFAqFDkNRR6BG9SrldIE+3QAlH0xP3T5QQ6PRkEwmmZiYEC8/AJuefwEaGOY8e3t74p41m02OHDkifs9uteAgHA4zM2/jrYTSB7W0nmZzc5PFxUUhxtVqlb29PY4ePdohxtvb2wwMDIgqic7w+/SYoFI5in1ggVarBXBXCw4eBKSoSiT3GfVh/COXMuZxcWEK55CDvWKBoaEhkVer9hszmQzDw8MimD2Xy6HVallfX6cFfGdbCVk43m/pWL9WKBTY39/vKsbtp069Xs+/+fJXxDLy//Y//psY9Ho2NzdptVpYLBa8Xi+tVotYLIbNZmNpaUk8ZAOBAFqtlrW1Nf73Hygh/M8OTxAMBruOZLS7gEulEqlUiieeeEJcoz8dJ1hR8ovPW0ZwuVwihN/pdIoQ/ju5QHfMBQDODM5SjKaATjFWT8btc6aJRIJ4PM7c3JwILvheTHHInjUvotPpaLValMvlW/Zju/WM09YshVaRXl0v631r7O7uYrVaOyL7fD4fg4ODLC4qS+Xr9TrJZFIEamQyGd6tKaaricY6a6vrh07G7f3YWwVqbLneJW25AcCpyc/Tp1Xc4ktLS/T29or0LHWtnhq+r1Y51OSoQP7fAy2MrXWyCT3r6++Xim8lxpFIhOXl5Y4Yx3ROSe8advx1qhUNu7u7BAIBYY7yer309/eLESi1H/ugIEVVIrmPqGvVZmdneeFbysP62ZUZbt68KcLjobMErL6pq2I8OjqKTqfD5/PxTixBoliiV6/j7ISTcrmMxWIhFArdsR8LyoMuFovxne8pbt3TH32OWrWKx+3ucFiqhqijR4+K+dJKpUIgEGBkRFlZ5gmHeCGolHc/MTHPwuzduUAPCt2fea/QAk4OjnNp7ZgQt8uXL4tZT/W0rJqjKpUKfX194iXCaDTy7Ze/BMDR5iA2m61rXm27GKvLvNVrHBoa4gc7r5JqFTBre/iF5acoZvK89dZbwhwVDAbR6XTCpNT+wtCeHPUHQaW0fqLvGNs3t+8oxpOTitAtLCxgt9tptVokMjG2km+ABub1J0SgRqFQwGazHerHdltwkE6n6ZkI0ko1GOxZpFWwsRPe6RBjq9VKKpXq2DaUy+V44403sNvt4nczbvwS6KBf+xyzs7PiPt5uwcFBp3KjsYnB7Ad6MJs+RSFfEqXr9vK6x+PhxIkTP1fg/geFFFWJ5D4RDAbFXOc7/jDhTB6zQc90D6wsr3ScOiKRSMepUxVjtf8JyoD/P39TycX91NoyU++NHrz99tvY7XYsFosIws/lcgwPDwsRAaVMaTAY6HcM4nlNEfhf+8xnxUypiirG7avf6vU65XKZc+fO0dvbi16v51+//gL1VpN5i5XBpga32029XieTybCxsXFXLtDBwUFeKSn91k9PronIQbUEbDKZaDab9Pf3c+TIEXGNPp+Pzc1NhoaGCAaDeCspvMUEerR8Yf1J+i2KWN1urVo3oXtXq5RGn3AcwaTrwZ9IMDc3d8hhW61WxYJ0UE5qBoOB9fV1mtomb2WuADBXm73jWrVuMY7lcpnXQ8/T1DZw9IxzZvZJ6vU6Ozs7OBwOKpVKhznKbrcLU097ctTS0hLfDv8rAGzVkxSahTvuuFXF+NKlS++7gJPvEq64AB09tSdwu93CHOV0Omk0GtRqNfG9bzXDq9W/TqEExp7ncLnCtzRHnT59mgcVKaoSyYeM+mavjih4PB6++MZNAM5MOFhZWhQPK3WtWnsfUR1baRe6eDxOLJXizZhS1vzkygLFYpFcLscTTzzRUQL2eDz09/eTy+XI5XLU63VCoRBTU1M4nU7+x3/1L2nVaphHR/n8Rz7SkVfrdrs7ggDgfafy4uKiWP0WDAb5XlgRoC+sHmd+fp5oNCqMUKo5KpfLkU6nmZ6eFmu6CoUCfr+fxcVF9ss5rqcj6DQa5vIwtjTWYY7a2dlhfHz8kBg7HA4RS9dqtfjDN5Re3xOD82RjSVKNmDBHjYyMkMlksNvtxGKxQ/1Y9WS8sLTIq28rTuazlmWxkP1uxHh9fV0Ezr+dvUK5WaaPPia04wSDQRwOB4FAgL6+vkObXA72Y1WncrLPC0U4Yr1IIpEgmUx2RE22m6O0Wi2pVIqtrS1CoZBIjkoW/UQ1V6GlYcX+CYZt789C38ocpYpx++efM3wDNGA3XmR27EiHOUr9TG/cuCFC+NWQfvW+KS8RGqJJpV2QjJ9menpanIxVc1R7utWDihRVieRDRF2rNj8/L04d2VyeV3w/AuBTR5fx+/3UajVCoRBDQ0OYzWbS6bSIzRseHu4IK/B4PFitVoIaPYVaDae1D3utQqHQ7HhAqyfj9hNdPB4nm81y+fJlyuUysViMv/izPwPg9EeeEcu+jUYj4XC442SsjoqoZepmsymMJ7pBG1ezCTTAL8wssbOzg91uFw9jdd5yZGSE48ePi37h5uYmjUaDkZER9vb2+JOYkqB0sm+EC0dPHHKBtp/obnXq3HW5eKWkGJo+M3mCicGJDnOUGsb+8ssv09fXp5Su3yulqif65eVl3khtka0XsGrNTNXtzK7OiPt4K3PUwfD4vr4+rseV/uWTwxdZGF8glUrxxhtvMDQ0RKFQECf6RCLB6uqqeKlpn+HtGzLhdl0DoD89ScPauKMYq59jeyn1lcC/gTr0s0Qu0SSXcJPP58lmsxw9elS8rNyqH+tyuZicnCReehEa4DB+kq2tLUZGRoQYq/dnbGxMjFoBeDwearUaFosFn8+HVvcORkuIZsOCfeDT4jNUFxzcz9nTnwYpqhLJh4Tf70en03U8/MLhMK+498lV69gtJp7aWCKTSpFOp3nyySfRaDSihHft2jXGxsZIpVKkUilqtZp4kBuNRr752hUAzg4NMDw01FFec7lcjIyMdMweqidW9dRpNpvZ9vuJ3tgE4H/4L/4LZmdn8Xg87O3tidMUKKcggCNHjoiXg0wmI8xIv//eA//00BjpvcAdRzJAOREuLy+La2w2mzx/Uxk7eXpgSixPj0QiotepipXaj+22zLsy1ks8lKdPb2RVO4jL5er4u/l8nnA4zPnz5zvE2OVyMTw8LEqpX00rbuij+mkGB5S+plruvZU5qr2a4Pf7KTfLeFFO8OfsZ4QYt5dS1RLwkSNHxGddLBaJx+NMTExQr9fZzrxJiyb21jhrk8d/6rVqatUhZPgJAOuOTzNvnRfmqLW1NXEdqjlqZGSEaDTK8PAw+XxezPDma9cp5/fQYCLpn2JpceGO24ZcLldHoEaj0WA/+L8BYLF8GhomvF6vMFu1l4AfdKSoSiQfMO2bXNSHiLptZmhoiLdjOQA+tj7P3nsB9+2JN2oI+5NPPim+pm6YmZycVALhazVecCsP6+dm39+6ks1m76ofq546f//rX4Nmk4GFeZ44clRk6h4UjImJCUwmkwikUGdh+/v7yWaz/KVHKWdfHhjtuj/0bpZ5/2D7KuFaEZNOz68fv4i+oZQfT5w4gVarJZFIUCwWCQaDDA4O0tvbSygUYnBwkL29PbHJ5R9vKuvZzponadUaXc1R3cR4ff19N20oHuZqRDFd/dLCM1QqFfb29jrMUfl8nr6+PlGJOFimnpiYwFfzU0/XGTeOUdgrHDJHtefVgmIS8vv92Gw2jhw5QqvVIpfL8fr+90AH87oTBINB8ffVtsDdzPA6prXkE3to0TPW88ShQI2RkRGRGa32jMvlMu+++y5arRa73Y7b7SbX88egB1PjHGurJzp+R2+14OBwoMYeA0Mv0WqBxfTLNOpGKpUKZ86cEWL8sCBFVSL5AEkmk2LRdiwWo1QqYTAYxGq0WrPFj7eVh/VKn4GJiQnxELmVGO/u7naUgB0OB//mRy9Rb7VYcNi5sLpMMpnkxo0baDQaHA4He3t79PT00Gg0aLVah/qxmUyGlZUVnv+6IkDPfPKTuFyuO4qx0WjE4/Fw9OhRTCYTlUqF67EQW+kEeo2Gi/ZR3G5lxEftp3UznnRb5n3doITwP+tcpJBMHxJji8VCPp/nySefFNcYi8V47bXXRJ80kU7yvZByav7UxDFxz7r1Y2+3Vu3duo8qdZzGQdZtsyKoob2Uvr+/L2Ig1ZeebDZLsVjk+PHj9Pb28ppLMYDN1WeZX5m/41o1VYzb54x3QzdI6YJo0PDU3Gfo0w0IU5LRaOwwR6kL59X7016mvpL+PQCGdCcI+rrvOD0oxl6vt2M3a7Va5o2YEmXZyzMd5qiBgQFhUtLpdLec4dXpdMzOhUllM2i1IyQT01Qq0Qdq9vSnQYqqRPIBoD6Me3t7hVOx1Wqxs7NDPp/Hbrfj9/t5yRumVKszbDHyiXMnxQNMHRNpD7jv1o8tlUr4fD5ej6cB+NSKIljpdJq1tbWO8trW1hZ6vR6DwSB6huFwWGTBvnL9GqldF2g0/O1f/uW7Mkdls1nhAlZXv33Vo/RBn56Y4/jKqjBHtQcq1Go1gsEgY2NjOBwOWq2WKFM6nU6stn6+8S1l5dwpnQ2NRnNXIxn1er0jOeovd16j0KwxaOhlum5RTlbvmaPUUmqz2RQvDO1l6va82nf2lNLv5cFj3Lx5s6s5anBwkDNnznR8/k6nk8HBQeLxOLshFzfzW6CBo6YNYrEYDoeDVCpFoVDoao7q1jPOOgKQglnLBoa6mc3tzVuao/r6+kilUrjdbvb398Uokdfnxa1T5kFHNRfuKlCjVCp1nDATiQSh9A9oWdLoNTaWJn6JXLYozFHqQnO32y0C99XPX51/nZmZUa4x+/9Wfp+LT2Lr62VszH7ov6mHBSmqEsk9Rl2rNttlmff4+HhHr+t//eEVQCn9BgIBms0m4XBYBLNns1lsNhv7+/vi1KESDocpl8sMTkzy1neUEIBzw3b29vY6xl1UMV5eXj4kxqdOnaLZbBKNRvnH/1JZRj60tsrMsNI/s9lsIm2pmzmq3QXs9/tpNpu8kle2t/zi3IoYyWg/0akjGc888wyNRoNEIoHH4xEbSJLJJD/c3yFeKdCnNfBL62foNSmnt24u0Nst8/5xxgXAJ8aOMDc7h9frZXh4mOPHj9NqtchkMrz55pvU63VGR0fZ399Ho9GIZKi1tTVy9SJvppUXhbminZXVzn6s6lS+3alzZGSEH9xUguYXLPOcWjxFoVDgzTffxGw2Y7PZ8Hg8NJtNMpkMo6Ojh4ROXST/A+/vADDdOto1UOOgGPf09FCr1bh48aK4Rl/qDYrZKNqWEUt5BZfLRaPRIBKJsLKy0hE1ubu7y9DQ0KF+bG9vL0bHu1ACh/nj7PtDh7YN5fN5DAZDhzkqFosJgY9ElOXlaI2YLAOMDv8NzKaHV1BBiqpEck+JRqMUi8VDy7yTyWTHqTOXy7Ht3ePdSBKAXzy1zkivCZ/Px8mTJ8X8ZTwe56WXXmJwcBCz2YzH40Gj0ZDNZpmcnMTpdPIHb12lBazabQybTYyMTIvruZU5qlKpdFyj0Wjkte9/H4DPfeFXmJ2dJRKJ8OabbzIyMiIMM9VqlWw22zFnWqvVcLlcTExMcCOXJFDIYdEbmMjXMI+bbzuSodfrKZfLOByOjg0k/8eP3wLgyYFJIkGllJpOp6lWq5w4cUK8rNxqrdre3h5jM5O85ldK688OLnPjxo0Oc5T6ArO0tNQhxjs7Ox3jTi8Wb9BoNXFqBjgx+b6AdVur1m2Zt+pU9vb4oATn7GfFqfPs2bOHzFEzMzMUi0UhdOrIjdPpJFjyEK8G0KJnyXyK8eFJcd0H+7Hq56+Kcfvnv136Fmhhtu8yy0NrQozPnj0rTraFQoFkMsn4+LjI5lW/z/z8PD1GDd6IctotRjYYHbPflTmqt7eXkydPiutRnMr/V8ZH/j/Agxfm8NMiRVUiuQc0m02uXLlCX18fc3NzaDSaW65VU+MFfTUtjWaL5VEHlkaVcDh9KN0om81y8eLFDjFWU4symQyZTIYvv3sdgEvjo6LceydzVPuDzuPx8NKN65RCYTR6Pf/Nf/y32N/fR6fTcfHiRXHd4XAYjUbD8vIysVhMlHvz+Tzj4+NUq1W+5VdOhudtw2y0LSu/nQv0YBDA9a2b/CSjuIz/2vp55hwTYnSjv7+feDxOtVolHA6j1+sZGhoiGo3icDjE/21tbY1vhN6l0qwz0WPDnKqy2CWvttuO0/a82kqlwuvvKMvePzF5gUqlQiQSIRAICHOUz+dTdoCGQl37sSaTiYHZAXw399CiZbzoJFlI3tEcpcY4qrGJuVyO531/DFoYZ4lStoI7p4RhJJPJQ+aoWy3ztg/aSOmvQBNmLc/idrs7xHhsbEzsSVUjMsvlMtvb2+RyOZEcVdK+TMOYR9N0sLHwWXS690bEfooFBwedyo8CUlQlkp8Tdcfp0aNHqdVqov8UDodFXmk8Hhfrx9QS8D/8wdcAODVqw2AwdKxV83q9WCyWQ2J8sLz25o4LTzaPTqPhV86eJJfLsbu7Sy6XY2xsTMz4GY1G8eA9WAKenZ3lD//xPwRg5uxp8onEHcVYneUcGxtjeHhYOVUnk3zTr+w8fW5kSsxK1mo1sTnldi5QVehC/ToKjRpOs5VVs53Nzc0OMR4ZGWF3d1eYf0B52Xjttdfo7++nr68Pt9vNl0OKKeipgYUOc0w3c1S3tWrRaBRfKoinEUGDho8Mn0RfUnq/ly9fFmKcTqe5evUqg4ODYq1erVYjGo2ysbHB4OAgfxlWPutp7RROm/OuzFEHYxwzmTT7uhvQgifGP8mCdYFwOEwkEsFqtQpzVC6XI5vNcuTIESFW7TO80frbVAppjBobaa+Z+bmxO4rx3t4eExMTOBwOcY1vBf4JAH2tp/H59sQ9A8TvMtx6hvdgctSjghRVieTnQO2Dqg8/dVekaphRT6yBQIDt7W2cTifxeJybvn2u+MNogL9y4UTHyMLBfmy9Xsflch3qx7pcLn68ryTTXJiZZNjahzcRZ3R0tKOU6vF4xJ5T1YSSSinJSxsbG+j0el7/jlLG+8THP3GoTB0KhbqK8dzcnBC6RqPB99w3yTcbDBrNfP7kObTA1taWWKatzpmGQqFDY0M+nw+dTsfq6iq/9apyMnx6YJJ4LNYhdGo/ttuWlPbkqP10jKtuJbXpvGkSt9stzFGjo6NYrVaazaYo9zqdzo4ytbo/1NeXgSRs9M+SD6VuaY5q3ymqjg2dPXuWZDKJy+XihbyyZWddvyoWxtdqtUPmKHUmdmZm5lCMY9ORp1jMYNRaWLQcF4Ea7btrvV5lmffRo0dJpVJ4PB5RVRgZGSEQCOAxKrO/9sZJ1teOHDoZ32mtWrlcZtdzlcqAUqJfGP2rGDXTIlDDarWKXrPf76e/v1+8hFmtVrLZLL29vR1l6kcJKaoSyc+Auqaqfa1as9nE7XZjt9sPLfM2mUwdpdRvfFsZQzg6PkyzkMOTy5BOp6lUKjidTiqVCkajkXQ6TSKROCR0wWCQubk5fvQTJX7vublptra2bmmOUq9HFeO5uTlMJhOxWIw/+u6331tGbuI3Pvkp4vE4g4ODHeVeFdUc1V6mVp3K7zRKAHxyapHCe2LcvnBcLQGeOXMGvV5PIpEgEAgQCoUYHh7GbDZz0+viRxFlBOdT4yvMTs2K+3iriLxuy7y/Hr1Kkxbr/eM8sXyswxwFymzk9evXxRo09WdQ77l6Mv7RO1cAWKk5GR4evitzVHte7fj4OC/vvkyGDAaNgU8uf4JWtcX169epVCqMjIyIF51qtSpeLA72Y5eWlvhWTBmBWTSdZHfbfUcxttlsxGIxVldXxcm4VMnxYvBl0MJw85wYd4rH44yMjNzVDG+hUGBoep9MtopZv0A5O0Qg4T506iyXyx3bhkqlEtevX2d1dVVUQR5FpKhKJD8F8WyRVrVEOpVkcXGxwwV6qx2nB5d5u91uXvIqp6hfOL7C1NSUeCAODg7SbDZJpVK89tprGAwGsTRbp9NRqVREWfB6JIY/k8Wo07Fk0rOyuNjxMO4mxqFQiLm5OXGNQ0NDfPEvlbzV9cuXObq+TiaT4dVXX8VutwtzlBrlNzMz09GPVceGxmdn+P47PwDgnMVGLpfrELpuQQA6nQ6NRsNTTz0lrvHfX3+ZarPBlNHKYAVcLhfVapVkMsnRo0fFC8ytUnnUvNrXa0op9OOjG+zu7h4S40wmw+DgoOgZgiIi8XhcbLcJ11N4iiG0LQ0fnz4vxOp25ih1I476+bvdbtxmLwAnbMcxYGDHpwQqHDRHqf9++7iTwWBgdnaWRqvOjdyrAEzU1g4Faqj3+3bLvPP5PO8Ev0LLWKVP7+T49MfENa6trYnxF9UcNTg4yODgIOVymZ6eHjE2ND8/z7WEMgKjL12gaqh2NUe1X2M4HKZQKHD69OmHImrw50GKqkRyl7RaLf673/068XyJ//zZI+j1irM0kUiIDSTteaUH16qp68k0NgfuRAa9Vsu5qWGRWqP+3VqtRiwW49ixYx1ivL29jdlspl6v4/F4+NNr2wCcGrIzOzFxW3NUIBCg1Wp1PPyi0SjxVIqdl5WH9d/4a39NiPETTzxxyBw1Ozsr+nXVapVIJILT6cRgMPCDgIdSo86IwcSFyfe3trS7QNtHctQggIN5td8OKz3Zz88fZ3FxkVAohFar5dSpUyJLV00vUucejUYjxWJRbHKJVHNczeyjAWZzBqaWpu4Ykbe7u8vo6CiTk++7ab/27p8CcNq+gqGuxePxEIlE0Ol0OBwO9vf3GRoaIpPJdN3kkslkWF5Z5nc3/z0AG4Y1saf0oBh3i3E8ceIEZrOZXC7HK97vUWrmMbZ6GWrNiIjJRCLB4OBgRym92wyvusy7OrAFJcWgpC5BV190+vv7hRhfvnwZrVZLuVzG7/cTCAQYHx8nm82SynrJmF4DDUwP/goDfbcO1Gif4W2/xkcZKaoSyV1QrVZ59Z0b7EYzaDUazh5Zxd5rxOVyiX5TOBwWRqXe3l7x0BsYGCAQCGA0GllaWuK3fqgYaE5ODNEoFTsefuqDrpsYd2wgyWZ5KaCcdj9/6pjofbWbo4LBoFgoPTY21tGPdbvdDA4O8tVXfkKjWMRgs/HssePUarWOE53qVFZPnYODg0QiETQaDZcvXxaznn96XSlDX7aPilAIg8GgCMuB+dhbuUBNw3au5JQe8afGV9ja2uoQ44mJCVHOHh0dBRRRunLlCs1mk+HhYfb29vhSSklQWjeNcmHj5F1E5B1e5u3xeHinrrw0fWT4JAP9AyQSCY4ePSrEuFwuc+XKFSwWC729vbhcLmFKm5iYYHFxkc3cTTL1DGaNicnmBNOr7487BQIBarXaHWMcm80mrvoV0MCJwadZHFkkl8tx8+ZNbDZbhzkqHA6zsrIi7k97mdps1fLivvK7p40voh3Qdpij1G1DBwM+enp6RNkcYCv8bWi16GmukIxqSEbdZLNZkcrVbh472I99HJCiKpHcAfXU6c61ADi1MIa+WcXtDnTE+AEds4etVotkMsmrr76Kw+EQYvaNd5QggY+uzjE19X5Or8vlwm63d2TBqv3YdqELBoO8FYqSrtawmYxcnp8hnUxiMBiEOQqU/te1a9cYHh4mHo8Tj8cplUrkcjmOHj2KxWLhT97bSLNx+RJTExMdJ+Nu5ihVjNWHNsBePMo7BcX49Osbp5gbGSMQCJBMJunt7WVvT3GGJpNJ6vU6Gxsb4uTY7gL9ffdbtICjtlGKgchdjWTs7e2xuroqrrHRaPDinuK0vdw/h9vtptVqiUCN2dlZWq0WGo2m6yaXUChEpVJBO9VL9HoKk7aHheYIPp+vqxifPXu2Q4y9Xi/r6+vkcjlcLhffLSkGsAXm0Wv1om96q35st2XeGJqEtNvQgqP9F4UYnz17Vvw5VYwvXbpEOp3G4/GI0PuJiQnS6TSu2g9pUsfcnGBt5sJdmaPad9yKRLB+ZZ55cuDzOC1KoMbo6CjHjx8nn8+zv79PJBJheHj4oY0a/HmQoiqR3IL2/aFzc3P8g6/8OQCnJu2USqVDQqcuHFeJx+PkcjkuXrwoHsY/2dwlVihjNuhZG+zF4/FQLpdFMLter6fValGtVm/Zj3U6nbyZem90ZXGOPa+XgYGBDnPU3t4eRqNR7BQF5WSk1+uZm5sjkUhwfXsb9yuvAfDrv/Q5kX6Ty+WIx+NdzVHtZWrVqXytVabRarE64GDK3MfNmzeZmZlhdnYWeL8EODc3h81mI5FIiCQdo9GI3W4nEAjw1T1lJdpT/RNdI/LuNJKRzWZ5xXuDYD1Lj1bHF9afRFdrCXOU0Wgkk8ngcrkIBALCHOXxeLDZbESjUUZHRxkbG+NfexQH8hHDNPqW9o7mKFWMVadyf38/wWiQnbwyt/vJ+U9g19lxuVxEo1GRHJVIJNDr9SLusdsMr6v+FvV8lUGDk4y3ypjTcVsxHhoaIp/PMzQ0JFzg9Xqdt3wvgx4cHBcViHw+f2jc6VYLDvx+PxOzemLpLUCHVfsMm5ubHYEaZrOZcrncYY563JCiKpF0oVgscvPmTaxWK7lcjp1gHF8sjV6r4ZNn1hgeHADeX6s2Ojra8UbfbZn33t4e391UTCjPrMyyvDBPMBhEp9OxtrZGs9kknU7zzjvvUCqVcDqdhMNhdDoder2efD7PwsIC9VaL53eVf+eIpYfp6em7Mke1O5UnJib4h7/7O8oycucof+9XvkCxWOStt95Cp9MxODiIz+dDo9FQKpXEqjWVaDRKoVBgZWWFf/JDRYCeGZpgb29PrKKD9/ux7cu8VWE9ffq0OHXeiAa4kY2iRcNF65gIZo/FYszOzna8MNwqOUij0bBlLgBw0bFEPp4+JMaNRgOgwxyVSqWEazeVShFPJvhBTClnP+U4LiL71DJ1ez9W7RmPjIx09IxdLhd7hn0qVLAbBljsXcC/p4yXtJ/egsEgmUyG/v5+sVYvnU5TKBRYXV3FZDJxLaSsZ3NWV1heWj4UVnEwUGN3d/dQjON11+sUTIrT9+zUX6dXNyLiB+GwOWp8fJx6vY5Op+soU+/lfgsAC6cIBwpdk6PaxfhxRIqqRHIANTz+1KlT4mv/4T88D8CJ6SHymRT5jBKCXiqVOHbsmHio3W6t2vjEJK/sKT3Dj67Nsb293SHGGo2GVCrF5OSkeNgBopRnNpvZ29vjlWCUQrXGoNHAR48duStzVDen8g++p5Qmn/zUp6jX6wSDQY4ePXqoBNzf3y/MUe1zptPT04SLed6IhdAATw2OMe8cP7Tj9OCp82AQQDKZ5D9svwnApdFZTi6vkc1mCQQCHDlyhEwmg9vtplqtEgqFcDqdWCwWarUagIhI7O3r4zsvKtWEo007PT09hyLyum1J0Wg0HaXU77lfodAq06+3sGqaxOPxCHPU+Pg4yWRShFqo5qiDyVHz8/N8L6y4oU9bT7F1c6urOap9mbcqxpOTkwwPD5PNZtnZ28RVeUfJDDacZG9vj4GBAQqFAvV6/dAM78Fl3qpTWev0QabFiPEYmkofN/duHnIqu1wuEahRLpcJh8N4vV7sdju9vb3sunZJWr4KQL/2ORbusODgcUWKqkTyHu3LvDtOHW43P9lRRjQ+d/EYc3NzYl/n3Nwc0WiUer1OMpmk0WiIB6LdbieVSpHNZllZWeEV9z6pYhmb2chgo8zC0mLHqWN/f7+rGE9PT4vyWqPR4H997R0AfmFthVw2SzQSIRQKCXNUKBTC4XAQDofp6ek5VKZuNBpgNhN69yoAf/OXP08wGOwI4VfFuL0ErIrxuXPn0Ol0ZDIZfv/tVwBY6x2gt9HC7/czNDQk5j8PRuR1W+ZtNpt5pRQD4NOTa4dGMqxWK+GwYspSDTPFYpGtrS2RTRuLxfjx3nWilRxmjYHPrV+kz6i8HNxtRJ56ja/XdgC47DjO2IjzkDmqVqtx/fp1yuUyIyMjomecy+UwmUysra1RapZ5N6vc34nieNd+7EEx9vl8HUJnNpvZLr9JS9ti3DTPyZnz1Go13nnnHXp6ekRylNozHhsbY2FhQXyf9jL114K/CYC9dopYLHbIqXwwUKNcLlMqlTrX6mXfIFLYh1YPrcJxEahRqVRYWFgQJ+PHHSmqEgnd16oVi0X29vbIaiwk8mX6TD2cmR9ja2uLyclJ8RAxmUxi9+jAwIBYDv7GG29gNBqx2Wx4vV7+/FUlo/fi9Chrq++/0Xdbq9bt1JlOp/EEglyJK6agz6wvYTWbSKfTnDlzRohxLpfjrbfewm6302w2xfaTRCLB/Pw8Q0ND/N3/+f8JzSb9c7NcPHq0I35O7cd2E+P2a6zX67yQUk7eX1g9ztzcHOFwGI/Hw9DQELFYTOyQTaVSHD16VJzK2ze5uMoZfIUUJq2eyWwD25TtjmIciUQYGhrq2H7zO68rztbzfdNEAyGiKKfgarXKysqKuD+36scGg0Gm5qZ568ofAPBE/xqbm93Xqi0sLBwKjx8dHaXRaCjO4epV6q06A60B5qyz1Go1enp6bmmOUvuQB53KcYsbynDEekmI8YkTJw6J8cmTJ4VrWT1BDw8P09fXRzC9SarmQtPSMmN5ilHHtLiP3QI1vF4vBoPhUKBGtPEV0MOQ+VkWxzfEyfjo0aOP/OzpT4MUVcljz9bWlkgJUh9W7Ztc/rcvKxFz5xfHCIcCXdeqtbuAS6WSePipp45socjrfqUc+MT0iBA6dch+amqKVktxF6sziAf7sQaDAb9GT7XRYGHQjqVSJlEsdDz8VDG+cOFChxirp5NMJoPH4+GbX/6yci3PPkuz2aRerwtBOHgydrlcHf1YtZSa0mvwlHLotVo+NjmHz+dDq9Vy+vRpUZLe399Hr9ezsrJCIpEgmUySSqUolUqMjY0Rj8f5SvwmAGf6RjixtnHHiLxuy7w3t7d4Na+cGH9l6QKzAzPCHDU4OEgmk8Hr9RIKhYQ5yufzifV6aqbyj+PvUGpWGdL3Y83omF9buqM5qlt4/B/tKDOuT49dZsCqjFT5fD6GhoawWCy4XC56e3tJJpM4nc5D/Vir1crQjI19zzagwZadIqfvHqihirH6maVSKZ5++mk0Gg21Wo0X9/85aMHW2qCQqePOKAEP6g7XOy04UF4YhqlWfwJNGDJ9SgRqtDuVJQpSVCWPLe2bXAwGA4lEQgiizWZTknUCQX5wVTF4XF6Z6Bhgv9VatWq12vHwi8fjfOvqNpVGk/EBKx87c5xsNkskEhHRhel0mu3tbaLRKE6nk1wuR7FYFKVP9UH3zVcUA80Zh43e3t4OF+jtxFg9iVitVr76wx+QcblBo+F/+vv/FWazmRs3blAoFHA6ncp+S5Qeb6VSYXHxcJl6fn6er91Usl8vjUwS9viYmpoSf67bSMbo6Kgw0ag940KpyNff3gTgI/ZpZYQERaysVusd16qpebXJIT25YAVHTx9L+kG2trY6xNhkMlEulzl16pQQ42q1KuZMLRZlgfnXU8oL1GnTIvPz8yJQ41bmKDi8zDtWiOFvKe7acwNnKeVL1Gq1DnNUOp3G7XYzMDBAOp0WEZWRSITl5WWGhoZ4Oa30L0das0w6Zg+djLuZo6xWa8epMxAMENe+AcCRkc8y1ztPKBQil8sxPDwszFFqz3hubk68HLQnR+Xqb1Arx9Bp+gl7HCwuvB+oIelEiqrksUTNem3vGfb19ZHP57lw4YJ4sHz79evkylVs5h5mB0x4PB7q9TqpVIrl5WUhamqm7sH9kWqI+JV4HoCPry+ItWrtD+harYbZbOby5cvia5FIBI/Hg91uJxqNkipXeN0fBOCXTxwR3/t25qipqamOU4fL5eLffelLAIwe2WBjbk70DNvNUT6fj2q1islkEj3DRCJBs9lkeVlxoH5jT+k9nrMMsLKyIkaB2vOKD45kHEwO+tr1N0k3q9gMJv7K8SfQNltCjNWTkxpkYbVaGRsbo16vo9frOza5/P7VvwDgid5psulM17zabsu8z5w5Iz7/YCrCZkQRyiftR/B4PMIcNTY2hl6vp1gs0tPTw87Ozi17xpH+GK18i3nLHLlA9pAYq+aodiOc2jN+6qmnyOVy7O3t8Xr5edDCnPY48Xicer2OVqs91I+9Xc/Y4ixQzsbQa0xMGM+xtbV1SIzVF8uRkRHK5TKxWEy8MA4NDeH1eqlYfgSAsf4EG+vvL2uQHEaKquSxoj2vtttatfaHXyQS4XvvKqfUT5xaZmFhXojx2toa6XSaVCpFsVgklUrhdDppNBpKHFy1yt7eHrOzs5QbLV52KQ/r5V6t2MMJitC53e5binH7g/cbP3iBFnBkdBirRikTJ5NJarUao6NKkpHD4RBRgu392EwmQyQSYW5ujpe+/R0APvWLn2V7e/uQGHs8Hqampg6VgJeWlrBaraTTab59/QqBQg6jRsu5gVH8fj82m41IJEJ/f3/H6a3bMm81rOCqVhmB+cTECoVMtmterd/v58KFCxgMBuGu3d/fF8lRN3a3+FFUCdT45NgRpseVnmF7RF57P1YV44Onzhfy12jSYs4yxsnJdcLhMK1Wi2eeeQaNRiPuTSQSYXx8nHg8TiwWo9FoUKlUWF1dxWAw8Oq2Mvs7XZ5ifGn8juaog8u8+/v72YldI6eNo9PoeXrhM/RolGpCsVhkaGiIvb09kWZlNBpZW1sT96y9TP1G+l8BMKo/h3vXf0cx1mq1Ihyk3al87donmBp5hmHnWNf/riTvI0VV8tigGo+6bXLptj/U0m/j7b04AB89No/H4+kQY6vVyv7+Pna7nY2NDVqtFrlcjqtXr1KpVBgeHiYYDPK8K0Cj2WJ6oJePnDl5qB97cK2aeo1qeU29xp+E3nPIri4xPDyM2+0W5ij177777rsYDAZhjlK/j91uZ3l5ma+++AKFYBCNXs9vfOqTh8Iq1BCCg2Lc3jM2Go18P6qUNz82vcja4iKlUomrV69iMpno6ekRc6bqqWpmZgbo3OQyNTfLd775DQBO6wcolUpd82rbxTifz6PVaoXQAXxx52WqrQZOg5XBkg63202pVCIej7O2ttaxVq9bP1bNq303q5zIn3YcZ3t7uyOvttVqsb+/j81m67hGv99PpVLBbrfj9/tJNlP4SntoWhrO2E93Fbr2fmwgEOjaM47bXZCFpd5T6Jo9bO1uMTMzc0iM1UQur9crXMAmk0kJgCjk8BV+CICjceaOCw7i8TjJZLKrU3ljY0P8jkpuj7xLkseCSCRCKqXsw2xf5lwulzly5Ig4lbXvD33+qodKrcHEoBXyCcbeW5cG3cVYdaXOzMxgt9vF1176njKD+eTsmBC6eDyOVqvtKJGq5qh2UUskEqTTaUwjo9yMv4BOo+G8cwiXy9XVqdw+M1ur1cQMp3oq+c3f/m0Axk8cZ3Z8gkajgVarFSfjg/1YvV7fcaILhUKUqxVezScA+Mz0khDj06dPizJ2oVAgEolw9uxZ0T8sl8tEo1HGxsaoVCp8z79Fvl7FoTfxkbl1+u5yrdrBvNrnE8op9dOTJ1hYeL+8rhqzfD4fyWSSYrHI+Pg44XBYOKNjsZhioqpluZZVAhAmMn3MLc91CJ3H42F2dvaOy7x/vPkiAOv9a0wOThAOh/H7/cIc5fF46Ovro1QqiWtUUWd4V1dX+I5HOWHOao7i8Xi6inH7Wr2+vj48Ho8I1KjVatwIf49yM42+2YulvojL5RJ5zBMTE3e14OCgU1lyZ6SoSh5p2vNq1YeDWgJ0Op0dsXnxuHIqHRoaIh6P850rShTgubnhjrd31cF6N8u83765w2YsDcCvPXmGQbNRrNoym80ipzUUCtHf309fXx9+v5/BwUGi0ahY5v3bryqmoOMjDgyNOjMHzFGqU/mgGLd/LZlK8e6PfgzAX/9rfw2TyYTb7RaBCvl8nkKhgMViIZFIHHKBqjO8LmokK2UGjSZGClVaNjPz8/M0m01AeRibzWZxonM6nQSDQXHCBKWf+sUfK27opwYmiUYiRFFeBNT0nrvZ5DIwMcI7LsVs87GRNW7evNkhxgMDA8RiMaanpxkeHgYUQbx+/Tq1Wo3BwUG8Xi/PF5TZ33ndKBfW319PppqjDn7+3ZZ5+/1+drVKu+DcwFm0Wi35fL7DHFWr1bh27RpGoxGj0Sh6xqFQSOy99Ze3yNYTGDAyrllhcnlKfNaqOaqbGLefOrPZLMHai6CD+f7nWHIsk81m8fl82Gy2DnNUOBxmdnZW3LNuZWrJ3SNFVfLI0m1/qJpX214CVkup7cHsgWiCN3aVh/WF+VFRXstms4yOjna4gNUc1YP92FKphKusjMmcnHJiqFfZ24t0iHFPTw/1ep3z588LMc7lcty4cYOBgQHy+Ty5XI6/vKY4ZJ+bnxYJPGqZemhoqGs/9qBT+Ys//CHVVAqtycTf//W/SiGfp6enpyOEPxaLCYGPRqOAImpqUo/NZuPrW8rJ+1yfg9np6Y5+7O7ubseu0PZTZ3ty0E2vm7eKSjn7PzpykfmBETEfabFY8PneX6tXq9VYWFgQ96x9k8uf779Jo9Vi2TJCNZi6K3OU2h9uD49//a0vAnDpPYOSao7q6+vD4XBQKpUwm80d5qj2z7/ZbNI720d0J4pBY2CiMkYgFejqVD5+/PihsaHz58+LmdOXKl8HDUy0VqmVFVNcX1+fWHBwN4EaRrOOtP5daMFc73NCjNv3x7YHaqhVhEQigUaj4ejRox0LxyV3jxRVySPJrfaHqnm1d1rm/Zcvv0uzBasTQ1w8uSFKgFNTUxQKBeECDofDOBwOMfiv0WiE0I2OjvIPnlectqecNur1+iEx7maOKpfLnD17VlzjyzsuQoUSRp2Os6PDeDyeDnNUqVTCYrHQbDZv2Y+dmJjgL76ubG9ZefIi0VDolmKshrAD4tS8vr5OOp1my+3mu3vKCf7Z4UlRSi2Xy2QyGRYWFu64zNvn87FlrFBrNVmwOpg327hx48ahvFp196jNZhOjPH6/n76+Pmw2Gx6Ph69FlBGjS9bZDqG727VqqVSKd0PbBBtJ9Bodn5q9iLaiJEOdP3+enp4e4QB2u93CHOV2u9Hr9WQyGaanp7HZbPxZQBHmBe0cFoOFoYUhcW9vJ8bqNfb09FAsF9ivKosFnpz6NDPmGbxeL1evXhXJUbFYjEqlIloX6guD2o+dn58n3HiFerxEr26UuEfD5MTtAzXUkrHT6RS/E5KfDSmqkkeK77y6xbd/co0nN8Y4sTQmRCEUColYQXi/H3erZd7vhnIAfOzEohBjtQTocDjEhpFLly6h0WiU0P2dHWKxGGNjY6TTaW7sBdmOJNBpNHz2zDFG7Mq8Zq1Ww+PxHNpx2i7G6jV6vV6edyuntqfnZ1iYnmJ/f5+BgQE2NjYA5WG6vb1NsVhkZGSEYFAZu6nX6+LFolguc+1HyljEL3zs4x3ziKVSCZ/Px9zcXFcxVnvGAwMDfGX3OuVWk4leK586epJ6vc61a9fQaDRYrVb8fj89PT1kMpmOkjsoqTzVapX19XX+6Uv/AVBmU9UQ/oN5te1irAb7nzt3TlyjJxNh0x1BA5wxjuNyuYQ5anp6munp95OD1H7swbVqPT097PWlIQOnBpbJRdOHnMrpdJpardZhjkqlUsK4lEgkiMaivFxQIhuPmY91JEepCw7uZq1ati9IlRJ9ugFmzOv4fD4sFgtPPfWUuJ79/X20Wi3Dw8PiBJpOpymXy0xOTiohHgUlq7q/coLVldW7CtRodwFLfnakqEoeGVKpFF/50VVu+lOcWp9nbm6OVCrFtWvXcDgcHcucE4kEa2trokypbnIZGxsjV4Nre1E0Gpi3asS6NHhf6CwWS8eQfS6Xo6+vr0NE/uLrPwTg+JiDYjqJJ50kn8+Tz+dZX18XYqWuVVtYWDgkdFPT07zw/ZcB+OjCDFtbW4d2nO7v7zM5OdlhjlIFQ6vV4vV6+Tdf/SqNQhF9fz//yS9/XohDOBwWaVIH+7HdkqPerCgvG78wvUS5XMbn87G+vo7RaKTZbFIoFETCkLqns9lsEggEGBgYwOFw4E8neDWmOG2fHZplafr903u3tWqqGB/Mq/0L36sAnLbPcmb5iBDjJ554gnw+j9frpVQqiRedQqFAT08PRqOxY3/oD99WYgmXqsOHAjVuJ8btpdQXPS9RoIhFZ+Hs6GlCoZCIaHQ6nWIJgVarJZFIdB0bWlhY4KvxbwGwYjnH1s2tQ07lg2LscDg6AjVqtRqhmJf96muggVHNBVFWr1arGAyGO/ZjJT8fUlQlDz1qXm2x2mJ7Pw3As6cXRF5t+07RWCxGPp/n5MmTwnCUz+fJZDKMj49TKBT4znWll7rqHOD42vKhfmy3tWrdTp0vuN8Lajh7lNnZWXw+HyMjI6yvr5NKpfB6vR3mqFAoxODgoHAlr6ys8Pp+iHihiLXHwASNuzJH+Xy+Q2NDf/l1JZ3n1Eefw9rbi9/vJxAICHOUz+cTM6jd+rE6nY7RmWlefFcxF523KIEUB8VYHWNRS5LqSMalS5fQ6/WUy2V+650f0aTFsmkAa42OUurc3FzHfKSaqXtwk4vVauWNmuLi/oTzyKG8Wrtd2Xmr1WrFiV41W6kO5EgkgqcaIVJJ0oOeX1x5hj6jcpq8nTmqfX+oeo2beiVq8bTtFP29/URD0Y7kqFarxebmJqVSCbvdLlzgiUQCk8nExsYGdaps5ZV+9XBxvutatW5i3H7qbDQaePI/AmMDu2GeozOXlRjHzU16enrQaDTiRSefzzM1NdXh+Jb8/EhRlTzUtO8P/cYruzRbLdZmh8klw13zatuXeY+NjbG3t8fw8LA4dRQKBb7+umIKurg0JkxI1WoVrVZ712vVSiYr4VwRs0HPmelRtra2OsR4YGCARCLRYY6qVqtcvXoVg8GA1WrF6/XyxXeUa3lifJTVtt6rGi/XzRzV4fhNJtnxedl7Q3EP/93f+A3xvdrNUerWl76+PtEzbjQaItfY6XTy5+5N6s0ms6Y+VgaHO07Gaozf3Nxcx5YUnU7XcepMpVL8KK3c0y8sn2JhfoF4PE44HBaLwtVyezKZFIET6jWqm1z2qmnchRgGjY7xtIahmaFDa9UOirHH42FgYKDjnv35O8qu0lN9i0QDYaIoQlev10UpFW6/Vm12YZbfuvn/A+CY+Qibm5ssLi7elRgvLi6i0Wjw+Xzs1t6i3qrS2xxgyDAl9qz6fD6MRuMdZ3hVp3K5/wZUFIOSKsYbG4czlTc2NoQYS+4dUlQlDy3BYBC/38/6+jomk4nn33ABcGzG1hFW0J5X277M2+v1Mj093XHqfOXqFuFsmR69jl955iy9RgO7u7viz6gnjGg0isFgYHZ2VlxPIBCg2WyysrLCP/2O8rA+P+MkHY91FeODp85gMMixY8fENWbyBV4O/hCAZ2YmO4RucHAQu91OtVpFr9eLsaGD/ViLxcKXX3xBWUY+MsKFpWUR8KCiivGJEycOjQ1duHBBjGL82eYVAJ4aVLKJ9Xo9Op1OmKNUU8/tkoMqfUa2Syl0Gg0fH1vG5XLR19fXsW1GDbo/cuQIhUKBQCBALBajWq0yMjJCIBDgy3nFzHPc5OT0+rFDYQXt/Vg1hengMu+tnW2uVJXZ1E9OPsFM/4wwRw0MDFCtVonFYrjdbiwWCwMDA7jdbkwmE8Vikd7eXlZXV3k7c4VSs4RVa6U/Z2VufU78LN3MUel0mkgk0nGNer2e7+5fAQ2cHn6O2cFZIpEIV65cYWRkRLwUqg70ubm5Q2Vqu92Oc8bKTwLKyjltcoGyqXxbc5Tk3iNFVfLQoT5gbDYbp0+fJpVKcX1nj629GFoNnFsdEztFU6nUoZVl6iaX9p5hOp0mGo2ylVIWXz+xMgX1Kts+T1cxPnbsGCaTiWw2i9frJRgMYrfblQ0kbjffva4I/EeWpg6Zo0wmU2fo+XvmqPZrjEajfH/XQ7HeYLSvl48d2yDzXqbuxYsX0Wq1otSr7tLMZDJkMhn0ej3ZbJaFhQVMJhNf/nMlF/fE009ht9s7hM7tdgv3snqNaoyjWgIeHBzEl0qwWcwA8BsnLzBsNLO7u0s6nWZ0dJRQKCRKigaDgWPHjokXhvb9ob+9q0T4nRucIubZu+OOU4vFQiAQYGFhQZyM640G3/+R4qq+ZJ3F7XaLz3VgYKDjBabdHNX++afTaarjBjI3C/Tre5llSAhq+1KAbDbbYY6qVqtsbm5isViEwef7RaUkvqpdZnJyUtxHl8uFzWbr2o896FTOVVNENMrPcaT/IvF4nEKhILbNgPIyFgwGGRsbI5lMkkwmRc9YjZX0FL4GtOhrLDDjXL+tOUrywSBFVfJQ0S083maz8fK3lNGK06uTnDiyKmLzLBYLvb29eDzKiSQejzMxMdHRR/L5fPT09LC4uMR//6U/Uf6dKTvJZPKOYtxsNmk0GkLoAL5/dZt0qYLVaGC+3yR2XKo9SLXPpvZj28vUqtDZ7XbeSr8Xwr88z14Xp3Iymewawp9MJrFarYRCIXyRCIErSrDBf/Yf/UeHkqPuNMOruoBfLadpAaeHxhg19+JyuRgdHe0I1HC73fT39ysP9/fudywWQ6vVMj4+Tq1W4+v7Su/xomWk4/TWLcav2zLvUqnEt2++TrJZoldn5PMbT6Jrwu7uLuvr69TrdbxeL41GQ5ijbDYbmUwGq9UqxoaWlpb4Z7t/BsCJnlkqxfJdmaPS6TTHjr1/Mg4lw+zmFDF8auwyoVCIfD4v+ra5nGLs6uvrE5WRg2NDTqeToOU6rWiTMeMcKV/hluYotT8MihjrdDo2NjaE+e5G4WughxHOiyX1BoNBhJWoLwySDw4pqpKHhm7LvOPxOJlMhiveNADPnVkUebWnT5/uKAH7/X5WV1fJ5XJizjQUCjEyMoLRaORtd4BopoDZoOPJjTmGHUpmbHs/tpsYH1zm/e3ryhznxzcWWVpY6Nhxmk6n8Xq9HeYo9XSpumTn5+cpN1u84FEcsqs9OkZHRw+Zo7qJ8eDgoBCCVqvFP/jtfw3NJra5WZ47c5ZAIEA0GqXVajE0NEQgEMBms1GpVA71Y9tneP/H7/05AM+OTrGzs9PhVFbFeHp6Gq1WK65zd3eXjY0NrFYr5XKZn3i38OSTGDRazveP4fF4MJlM5PN5bDbbHSPy1LzamyblZeOZkRXyqQypVKoj8Uin03WYoxqNBqFQiLfffpvR0VFyuRyJbIqX4kqZ9DnnGSZGJ4Dbm6MOLvP2+Xxcq1+nQYMxo5Nl+xKhcgiLxSKSo9TqxPb2NqOjo2KtXqFQoFwuc+LECQwGA9f2lHbBSGmR6fnpu9px2p4cpdfriea2KfcE0aDjzMxfwaizsb29faivLflgkaIqeeCp1+viZNSeV6qeOhqGfvajGXoMOqYHdRQKhY4HdDAYpF6viweL1WoVQqemCRWLRf7Ft74PwJnZYfLZDPlsBp1O+ffaXaDqWrVuy7wHHEO8vq8kBX18Y0GUAFUxdjgcFAqFDnNUrVZja2uLYrHI8PAw+/v7/MAfpNpoMN5r5uNnTonT2+3MUd3K1C9893sAPPuZz2A2mwmFQqysrIjyqhrZp9VqxWkKlFOZw+FgYWEBdy7NZjqOTqPhrMXOytz7Lxbt5ih19VsymSSTyXScOqvVKt+OKC8bz40vcWRphVKpxM2bN7FarRQKBVwuF41Gg2AwyMzMTEdylLrJZWh0hOdfUMrZx1oOGo1Gh9B1E+NYLEatVusopX7D8yKVVg2H3ootZ8BdcAtz1MzMjDip36of63K5mJqaYvu9n+mM7TTb29uMjIx0FeNLly6J6/F6vdjtdmVf7/4+uWYSf30LWrBoPE2pVKKnp0e8MLa/MNwqUGNvb4/ayDbkYdx8Fuombmx1BmpIPhykqEoeaNTwcKPRSCqVIpVKUalUSCQSrK+vMzAwwBe/pMwrHpmxMzk22jWvtt3UoZYp20+d4UiUN/eUkPjPXz7J3NwEwWCQbDZLb29vxzLnUqnE8vKyePCm02lisRgLCwv8YMtHsVrD2d+LsZBmemFBCF03Ma7X63g8Hqanpzucyi+8rLh1PzIzic/no9VqEYvFMBgMYqdoT0+PGBs6WKbO5/Ok63WS2zug0fD3fuULeDyermK8vr5+qAS8vr4uhPkP/Epg/fE+O306Pfl8HrPZjMfj6TBHqYlOBx22fr+fRqvJq6X3tuxMron5yHZzlFoCvnz5MsViURGcXI5kMsn4+DjpdJpXUh6ytRL9WiMfWzhJr1m5j3e7Vk39/H+SV1zVz46eZnF6UZijjh49Kn6/rl+/TrVaZXR0lP39fUwmExqNRgSBZOtZbuaVezOcHmJhaaHDTd1NjHd3d5menhZOZavVyl/ufA80MNu7wdrEUZLJJC+99BJms1mE8Ks9dKvV2rVMvbq6ypeD/xgAR/0Mfr9fzp7eJ6SoSh5Y1PnIg8PqOp2OxcVFkskkbreH77yq9OmeWB8nlUqh1WqpVquHVpapm1zm5+cP7Q8NlDTkyzUGrWaOzYyIct3BkYzJyUkRJOH3+4lEImi1WiXUwO/n6+8o13JhauTQaSmXy3WUV1Vz1EGn8jWXm2uJNABfOHOSEbMRj8fDsWPHMJvNlEolQqEQe3t7DA4Oih6mxWIhk8ngcDiYm5vjf/jv/hsAhtZWmR8b64if6ybGB2Mc+/r60Gg0/PgdJSP21zdOMT4+LuIC281R6tq79g096lq1iYkJNitpouU8/QYjzmwdw5DhUF5t+zJvdWZ2YGBAnOhbrRb//GVlC8wTfTNEQsp15XI5Go0Gx48fF/cxm82KEIqD+0NHpse4FvMCcGlAGYFpF2ODwUAul2N+fl6sjWu1Wty8eZNarSY2wrxefZMWLUYZ5fTiKfF9brVWTd3De9CpHDZuQxWOWi+JDN6zZ892OpW3trBareLFTG0VDA0NMTc3R7y6Sb4eQtsyMqw7xfji9C3/u5J8sEhRlTxw3G7HaXte7fDwMK/f2CNbrGG1GPnFj5yh1Wxw48YN6vU6DoeDvT2lL1koFDCZTB1C174/9E/+9IcAXF6ZxOvxHBLjg+YotZS6sbEhTsbJXJ7XvEogwcWZERHMrib6HJzh7Onp6VqmdjU1NFstjjpHMNUqBJLxDjGuVCpUq1UuXrzYER6vlhrV5KgffO3rAHz0k5/s2NBysB/bbYZX7QV6qkUi1RJmvZ5nxpUxD71e32GOikajpNNphoaGxP8ulUqk02nm5+cxGo18zaWcDM9ZRlieX7htRJ566pyYmOjoGV/d2uStshKo8Wsrl5jrH8fj8TA8PIzJZBKLu9VFAE6nk2KxiNVqFWXqtbU1vh19nXqrwVTPMM1w8a7MUV6vl7kDq//+7ebvK5/10AWCwSC1Wk2Yo6xWK/F4XAQ9qOYoFXWG1z5nIebdR6fRYy/OEE1HO4RXNUcdOXLkUAn4ySefpNFoKKEbqRKj9c8xMmFj3CEF9X4iRVXyQHG7iLxuyUHX/Iq78qkTc9BqihJnexCA2+1meHhYlFpBOfGazWbFoVko8eKmkq97bm740P7QW5mj2oUuk8nwxVeu0Gi1WBwZ5KkTR4UYHzt2TMTmtZujtFotxWJRrAAbHR3FZrPxrZe/AsCZQRsajebQjlODwXDIHFWv1zl+/Lj42p9865sUA0E0eh3/9W/8DQKBANlslnQ6LUYyGo2GMPUc7MeqgRp/tKkk/HxkbJZ9t+eWTuXl5WWazSaVSoVoNMro6CjHjx+nXC4TiIT55t575dbBGfb29ujt7aVer1OpVA5tconH4x1Cp4YV7FvrVAJ1Js125nsG2dzc7BBjq9XaYY5qNBrE43GuXLlCf38//f39eDwevp1SMnrP9i4fMkdpNJqOF69wOEypVOroayYSCXZjLsKtCFq0XBp5glax1WGOUl+mXnrpJUZHRykUCrjdbhqNhljJ19/fz/OxPwbA2VrEZrZjH38/UEPdcdpNjNVrVF+qrBYHR2f/SyT3HymqkgcCtQSYzWax2Wzs7e1ht9tJp9PodLqOh5+aVzs3v8BLv6v0U88uD7O3t3dXYry3t8epU6cwGo0Ui0W+9NI7lGt1RqwmJm0mUYpUZzC7maPaY/zUZd5XYu+NwGwsHBJjs9mMRqMhk8kIc1StVmNvb49QKCSE7rp/n+sRZd72V86cYGhAmSlUy9TqPCK83zNWxVi9Rrfbze/+mTIuMn36NOsLC/h8PhwOhwhZUPuN2WyWoaEhkRyVy+XQarWsr6/TBL7lV4w4pwx9d2WO2t3dZWlpSQivXq/nhYiHYqvOqKmPzx47D62WCOFXx51arRbhcFjMmarfx+/302q1WFtb47ffVsadLvXNEgqF7jiSoxqPnnjiCXGNgWyE3Yhy2j2mm8btdosXHafTyczMTMf96daP7e3tJWaPQxjWrKukQ+muYlwul3nqqac6SsCJRIL5+XkSiQSxWJS3aj8EDcxpj6PRaGi1WiKEv/2FoVs/Vr3GkZER8Tsquf9IUZXcd9rzatVTWblc5tq1a1gsFmGKaTabRKNRpqenmZmZ4cV3vBRKVex9RpYm7TjfM8zA+/3Yg2JcqVQ6hLdUKvGTHaVk++mza8zPz5PJZPB6vfT393eYo2KxGEtLSzgcDuD9MvXk5CSFBry9p/w7i2aNOAXDrcU4FAphNpt58sknxde+9LyyRPz4yBClVBJPKkk2m6VYLDI7OyvE4Vb92P39faamp3nr+0ogwef/yue5efNmV6ey0+kUoq8KhtPpFClJb6ZjJCsl+rR6zg2NiRShUCjU1RyVzWZZXFwUIzVqRN7bTSU04hcmVynk8+zv77O2tnaoBHzy5EkajQb7+/vUajWCwSAOhwOLxYI7ss+rSWUe9NmhFeYnbt2PVT9/VYzbP/9vxl6hBaxbZzmzdFycjC9fvkytVhO9z0QiIcxR5XJZmNXUcvarW68DMFkcxz5j72qOav/81VOnes8cDgeve35ESZOlR2vm4uwnyGcKvPnmm8IcpS5212g0h3q03crUkgcD+WlI7iuRSIRisXgorzaZTHLq1KlD4fEnT54UKUZf+eEVAE4vDdOo1ymVSiKy7079WPVh3NT1cD2YAuCjxxeEGLeXUsPhMFqtlkuXLpHNZtnb2yObzZLP53E6ncTjcb7nidACVob6OX9045A5qttatcnJyQ6n8u7uLj/2K8L8uWMbzM7O4vF4GB8fZ3h4mFKpRCQSEQ9btWfc29tLtVoVEYn/9utfo5pMojUZ+dyly3dljvL7/R0GLqvVyv+2owRqfHpuhenJSVFKVZOjPB4Per3iBh4ZGWFubo5qtSrurclkYmJ+lh9+8xsAnO1RVuZ1y6ttF4x6vU40GuXy5ctotVparRa/e/37NFpNZg12+ita3G43tVqNbDbLxsZGh5taNUd12x96taX02J8ZOiHiB1UxVjft2Gy2jthEr9eL3+9naGiIYDBIuBEhUomga+l4bv45rBZFUG9njurWMw70bUIV1vrO0aMzkkjsHTJH7ezsUK/XMZlMonWRy+VwOBxy9vQBRYqq5L6gCp3qVIXOvNr2NBm1NKk+/EwmEx7fPle9SQC+8PFzDA8raTnxeJyxsTGxzFnt8y0vL3fd5PLNK24azRbL4w5Kycgdxdhms5FMJhkbGxPmn2azybe/pgzvX5odE+aoTCaDyWTq2CzSrWeshlXUbQP4szmMOh3nx0bY2trqEDqdTkc+n+8wR9XrdW7cuIHBYBAP3v/z934PgIXz5zi2vi6+j9qPvd0MLyinzngmzes5ZcTo0zNL5PN5crkcTzzxRIcYqyf6bDYrxo2SySSzs7MMDg7yzdAO1WaDiZ4+ToxMdc2rVU/vt1rmHQgE+HFGiX38pdnTzM/ME4lERAZuOPy+CzidTnfsUc2/dzJeXFwkXEvhKgTRoWUkYWRsfqwjUON2YqxmPLdaLb6/+UMAjvRtkImlSTYSRKNRNBoNw8PDpFIpBgcHicVih9aqqWXqxeUFvub5ZwDM60+wvb1912I8Pz8vTsaSBw8pqpIPlXKlxle+8w4DpjynTx4R4xe3i8g7uD/U7Xbzji9LvdFk2jnA/LhdzBkeDA+vVqvYbDaxzDmVSlGtVpmdnUWn0/Hdd5SH9ekp+12vVTt46nzxyjX2MgV0Wg2/9uRZrKYeXC4Xk5OTwkWr9gwtFgsOh4NSqYTFYhH92OXlZX7zBaU/fG5shGImfcip3M0cFYlE2Nh4/2ScSKW4+ZIi8H/1C78q7kEoFGJ4eBiz2UwqlRJjIQdneD0eD/39/ewZtRTqNcYtVgYLVUo9dDVHtcfmRSIRqtUqly9fptlsEovF+JNNpUz69MAkiUSCcrmM0WgU22/aN7m07ziF9/NqtYO93CxF0QDPjayxvb3N4OCguB6Hw4HX62VkZITjx4/TaDRIJpPcvHmTZrPJyMgIfr+fbxaV2d/VnklOr3cuD4jFYl3NUQeXee+6dtlqbQNwafgJJnonRERif38/rVaLTCbDyy+/TF9fnzBHqf/m8LBihNvOv0WpkcdMH/0lJzOrs+I+dttx2q1nLHkwkaIq+VD51g+u8G///C3GRvo5e/oYPp9PjGCoMW6Dg4PUajWx+uug0M3NzfHb3/4uAE8fn2F7e/uuxNjlcontHsVikXe33Fz1RdAAFxacYqdooVAQQqfSbZm3WqbeKtQBuDA/iaZeZXd3r0OM1X2lp0+fxmg0UqvViEQivPHGG2IcZNft5pubysP6o4uzwjBzq35st55xKBTiX/35n9MoFND3W/kvf/2vks9mqdfrwhylLjW/ceMGTqdT9IxrtZp4kBuNRr7+0hsAnO8bZGR4+K7MUVarldnZWTQaDSaTiWgpz7WSUk34G8efZLp3gN3dXfx+Pw6HQ1Qg0uk0AMeOHRP3TO3HLi0t8Qd+xa17vH+SpDfYIcZqP7Z9rVqr1RICpF5js9nktdcVp+1p06IwR0UiEXp7ezvEqtsmF7VMrZ82kHFnsejMjNfHcLvdh3achkIhzp8/3yHGagiJer0v15Rl5OPNNQZsdlqtlji9d2tTHOwZSx5cpKhKPhTU+cg3ryvZp0+dm2dgYIBkMsnU1JQw/6ixeY1GA7tdOYECYnn20tISqVyJt7cUB+f6RG9XobuVGKsPOp1Ox482lTLtyflxTh1ZpVqtcuPGDUwmE0ajUTx4Q6EQExMTTE9PC4dm+yaX//t3FKft2TG7CNxXUc1R7deYzWYpl8s8+eST4hp/tLVLolyh16Bn2aKUcavVKtGosuxaPU3eqh+rPrS/8W3lYX3yuecI7u8fEuP9/X30en1HbF4oFEKj0eBwOAgGg+TrNX4c9ALwUee0eOBns9lDgRrt/Vi9Xk+1WqVarbKzs8PbmgxNWhyzjzFhsnLz5k2cTqco7asiMjk5iclkEmIWDocxGAw4HA7S6TTfDl0D4Lxp8pDQ5XK5u1rm/ZLnLRLNHEatgc+uPgM1peJx4sQJdDod8XicYrFIMBgUgRrq/1ZDNhYWFvj3/j8EYEm7RLPWvCtzVLFYZL2tDB9JhNiPKyEhl6c/Ta1U4/r168TjccbHlQCTXC5HX18fkUikowQsefCRoir5wFHzakfHprhy40cAnD8+wc7OTte82uXl5UPh8bOzs1SrVbxeL99900ez1WJmpJeJkQHK5TImkwlfl00u6lq19oefmhx0JZgF4GMnFoQYt68sU3ecnjt3TohHqVQiGo3idDoplUq8tu0hkM5h1Gl5dmOJkUGlnH0rc5Qqxu3X6Pf7+dbWeyH8ywssLy4Ic9STTz5JuVwW22fy+TxjY2NEo1H6+vrQ6/XEYjHm5+dJ5fPsvqyc6n7xox9lYmKio0yt5tW2i7E6w6s6VQcHB/k/X3uBeqvFkm2Qiwsrymq99/KBVXOUwWCgXq93jJI0m00SiYSYPf1ffvxHADzrmDm0Vk3Nq20/darzusePH6e3t5dWq8WbgR1chRh6tJwxT4o1b9lslvHx8UObXA4u8w4EAsrmmr405OHC4AaZeOqQOcpisZDP54U5CpTe8uuvv87o6CiZTIZEOsHrBeUEf3HoAs4Rp/gd3dnZYXx8vONkrPZjDyZHBfU3aVDDbhhlyrLMfnL/kDlqf3+fYDDYEfogeTiQoir5wDi4P/SbP9yk3mgy6eynz9RiaupwXm27gedW4fGv3lR6j7/41DGGh4eVFWc+H6Ojo+LBZTAYyGazTE1NHerHDg4O0jD144mkMOi0zPYpM6PdxFh9QA8MDFCpVGi1WqKU2mg0+N2/UMrQpyeGKWTSeDJpqtUq5XK5I1O33Rx1sEw9NDrKyyElBegTS/Ps7Ox0iLHJZKJarXaYo1RnaD6fx2634/f7+ad//Ee0qlWMw0P857/260KsVHPUwdPywRle1an8SkEp2X56ekl8Du3mqEajwdbWFnq9HoPBIHqGoVCI3t5e1tfX8RczvJsKoQUu9jlZne28t7VareNEF41GyWQyh8ZGvhFQ1tZdGl7i2NKqMEc5nU7y+Tz5fJ5arSZmfR0OB61WS4y2OJ1OrDYrL7yppB8tVYfRarUd5iifz3dIjPf392k0Gh3JUT/0/YgKFfp1/QwUbbjdbmGOmpiYoFar0Wg0RG7xwX6s2+1mbm6OVxNfBGC97wm2trYYHx/vao5Sd7NKHi6kqEo+ENRTp06nE07Gb/7gXQDOHRs/tMzZbrd3uID39vYwGo2HzDHBeBZvJIdWo+Hpk8pMabPZFEIH7y9z7u/vJx6PE4/HKZfLxONxFhYWsFqt/NlryrjIkQk7CzNTh07GY2NjXcW4fZm3x+vlFb8ihr9y4QRzc1Ps7++j1WoZHBwUPUN1zlU1LkFnmfpHnj1ylSpDFjPWUp65trVqtxPjg07l73xTKf2e/9jHxNJwNTlqYGCATCaDzWZjf3//ljO8A9MTvPmuMuN6oc9xy0CNlZWVQzGOJ0+eFPO8v7+vrFU7YnFgbmhEsIMqiAddwDabreOz9nq96A0G3qopzt5PODdEeHy7OSoajZLNZnn66aeFQcnj8ZBKpZiYmCCRSPBq9DrpWh6LxsjHFy9iMZrF76jL5erox3Zb5q1e47ut98rQg2eZHZvtMEep5fG33nqLRqPByMiISGhqNBpoNBrW1tYoNXK4Csp/B/2piY4ydTdzlOThQ4qq5J7TbZm3yxtk15cGlH6qz+ejVCqJEZhCoSAWKnu9XmZmZrruD918V3nInlwZJxULHcqrVcX44DJnvV7P6uqq0jcLhfjGG0pP69LSGOFwGKvVikajIZlMdpyMb7fMO0oPmXKVAbOJU1Oj4tShirHD4RCla9V8FY/Heeedd+jp6RE94y9duQ7A5Qknq22npfa1arfrGWezWV6/+i7hq4qQ/d/+zn8iHupqclSz2SQej/PSSy/hcDjE+I1GoyGbzTI5OYnT6eTfbl1RwhH6Bhg1WRieGhbXc6tAjWq1ysrKCs1mE41GQ71e58dZZavPr6+eZX5qnlAoxOuvvy6So5LJJOVymWw2y7Fjx4Sote8P3a0lCZUzWHQ9DCdbWMYsh9aq2Ww2UWHQ6/UUi0WGhoY4duyYuMY/fucF5XfGNE9oX+nFp9NparUax48fPxRW0V6mzufz+P1+xmcn2NpRjGQne4+zubnZIcbqztbl5eUOMd7Z2UGn06HRaHC73Ww3XqVJg/7GKMsTR8Xn2s0cJXk4kaIquWeoLtD2/aGgzEf++DUfLeDIspOVxSkRYKA+RFSzTSKRwOl0itnDcrlMo9FgbW0NrVbL868rvceNyT6mp6e75tXebpm32Wzm+l70/8/efwdJlt/XnegnfaWvrMzy3leXae+7p3swDsAAGJAAuRS51Eq72pW0eiu+jX2rjdALrVbSbkhao0furlY0IiGBBEgQIDwGwAzGu55pM+27q7qq0lWaSu+9e3/cvr/OrMo2IAByTJ4IRCAyurtu3Ztzz+/7/Z7vOSTyZQw6Db905jAalZLV1VWxfiOLo+LxOAaDoUUZ2pzk8vUfSO5Hp6eG2PJ6domjAoFAy8y4VquRSqXYv3//vdi4XI7zQSnH9cSAQ4ijAoGAMFTYKY7aucOrUCj4i1dfhXody8Q4S6OjQqzTbPqQTqc5efJkCxkHAgExM0ylUnzrjlSNne0ZwmAw0Gg0xH1st8Mr2/jV63VqtRput5tElwJ/OYtOqeapwVmxNtTcSg0EAigUCkZGRgiHw+LeZLNZhoeHKZVK/DgkHRIO6gZZmlvYNY+V3Y3gno1fc35orVbj1p3bXClKc9jnps4yZR4Xdn9ms1nMgJvFUeFwGLvdLnJY9+zZw7n4u1QaFRwqO41wo604qh0Z71wbesH1+6CAI31PiGuORCIsLS0JMu7gw40OqXbwc0G7JJfm/NBLN6V9xTPHpkWsWvOJ3u1209PTs8vg3GQyodVq8Xq9eEJptsIp1CoFp1bGqNVqaDSatrFqDwrzvhkpAHB2aQLqNe5sbjA5ObmLjKenp0X1W6/XCQaDmM1mrFYr0USC19akWeKpiYGW1uXOeSzsjlWTr/FbV29SqTeYsFl5Yr9kvB8IBDh27JhYvcnn82xvb4vWcyQSwWw24/V6RZv6x9+VTPiPP/EEWq22pU39IDJu3oW94NrAWcigVij51eWDIjhcdo6KRCKkUim0Wi2JRIKpqSmUSqVYx9na2mJ8fJznt6TW+pm+CbY2nIyOjrYEHKyvr7fE6pnNZrHX29fXJwmeknFe8EuketoyicfjEX7JGo2mpaKTr6uZ6OQkl4SjRjFZplfbzZjSwerqagsZOxwOnE6nEEeBdCA6f/48FosFk8mE0+nktbwksFvpWmZ2prVNrdVq24qjds6MgykvUcUWoGDFeopaVkm9XufYsWOCjDv48KNDqh38zAgGgwSDQWw2m5hlVqtVQXRbwSSbnigqpYJhO239au9Hxs3tta+9+iIAp/ZOMDo8SDQaxePxYDQasVgswo0nn89jMBh2zWNrtRrTM7O8/o3zAByZcOD3+x9KxhqNBr/fz9GjR9FoNNRqNb793lXy5SoOg44xc6uF3Pj4eIsKVJ7H7oxV0+v1vJ+UUnY+PT9DIBBoIWONRiOEOPLMWK5iL1++TH9/P9FolFcvnCe2dgcUCv7x3//7wlDjQfPYdju8ryXvxtYNjNJrNOGORBkYGKCvr0/cR9m1SjbCB4nAFAoFKysraHU6XgiuA3BAaWFubk4863Z+tfl8Ho/H00J01WqVlz3XyFHBpjXyucWTKBoN1tbW6OrqEh0R+V7sXBvyeDyi3f/NNUmgdKhrmlg0uouMk8lkSwKNTMbNzlHbqW3cGWn9al4xx+bmJpVKhe3tbfr6+jCZTNRqNQAhjto5M+7u7ibbE4AojOv3EPdndpFxBx8NdEi1g780mvcjDx48CEgv6Js3b1Kv1wXRff9VqWU7P9XDgX1L4gV2v1i1dDq9y692OxTiilNSpT5xaEaQ9uHDh1vIeHV1FaPRKJI+5ApzaGiIsbExzq/7SOVLWPRa9o330dekpvV6vWi12rZk3HyN8Xic19all+yz+xaYnpoikUgQCoXo7+9vmRlGo1FGR+8JoZrb1Ll6g/Nb0oxvTqPAYrG0FUe1I+MTJ06I6/n//Pa/AaB3zwIOvUEIdcrlMgMDA8LFKJFItN3hldvUr/xEOmw8MzjO2tpaCxnLrcqBgQGGh4dbWtIzMzMYjUZisRiXEgHCpRwGhYqDxj78fj99fX2Ew2GUSmVLZRwMBimVSi2kJhva31RLJvxP9y+SuzvXbraalMn46NGjqFQq4vE4gUBAOEd1dXWx6l7nQkKanZ+172NiYELcRzl7dqc4SqPRtFxjIBDg7cw5GjSYMExwcPqAqIzPnj0LSIeF27dvE4vFGB4eJh6Pk0gk0Ol0JJNJZmZm0Gq1fMv9NgCO3BR9433iwNjBRwsdUu3gLwXZIm9nmLesFpWrjlKpxIVr0uzx8WMzeDweIero7u7GYrGQyWQwGo3CR7ZdfmhBYSaaymPSaxm1qYjFYrv8ajOZDCsrKy1kHIlEOH78OKVSiUAgwDffkKzqjk72kstmiSmV6PV6vF5vS2Ust4DbOQep9AaubksE/8zSlFjJ2PkyVqvV7Nmzh3K5LDkvra1RKBTEzPibG9K+7YzVzOl9e3e1qZvnsbI4qt3M+N2XXgbgs1/4ZUZHR1vEUfV6nWQyyfnz59FoNEIcpVQqKZfLwmf3WizEVjZNl1LFgkLH/Py0mKfGYjESiYR41kqlklwuRygUYnZ2VhCd3W7n1c1zAHx6dA8Ls3PE43HOnTtHT08PRqMRp9NJvV4nkUgwOTnZkuSyubmJ2WxmZGqcN17/FgD7cZDJZHaRcbFYbCFjpVKJUqnk7Nmz4rNvbr5KtVFjUGXDmJeCForFothHlufssjiqXZt6YGCAzZw0kz3afZiNjQ0sFktLKz2ZTGKz2Vr2TLe2tohGo5jNZmk9p1FBW7KiUxn4xOxzGNQdQv2ookOqHfzUaParlREMBoUKtLnquHrLSzRZpEun5ukzS5SKeUKhkGivyVmWV65cYWBggEwmQyYjtUTlKDGj0cifvno3Em2yB6vF3Nav9kFh3mq1mlA0xlXfXRP+s4eYGOnF7XaLGV8oJLk95XI5KpUKy8vLgtTkNvXU1BQ/vLlJpVZnytFNLRFleGzsgeIouY3b7BzVaDS48IZUGR4acAhxVCwWQ6vVtkSj3W8eG41GWY+Eyfr8KNQq/v6v/touQw3ZlWnv3r0t13jnzh0RFO5yufgzzy3pWkw9DPf1U6lURPVuNBpFG1epVIpVofkdSuVUNsP5QgSAzwwvkEwmSSQSHD9+HEBEmAWDQaanp0mn06TTaSEUGhwcRKPR8FpojWK9Qp/KyJHB2ZYdzp35oc1kvDPM+52UpKp+ZvgYU8OSAlmpVDI5OUksFhN+yrKhRiYjtWTlGfbs7CzxagJn3oUCBdawmdGZ0YeKo2QyHh0dbbnGz/b+V9gdPSgVnfnpRxkdUu3gkVGpVLh06RJDQ0NCCCO3gHfmR8p+tetbkijo+IEJIuHtXSsZ0WhUGCo0fxaLxejv7yccDlOp1nn1ktRCPr0yKlqS9xNH3S/M+3asRKlaZ7jHwsKwQyiV5fYqIMLRDQaDEBzFYjHq9Tr9/f0UCgVevCmZ8B8dtu9S2N4v43Snc9S7N2+xkZIOD3/nsRNYtVrhI6tWq9ne3hZzO5PJhNlsJhqNYrPZ8Pl8wlDjv/0//ncAhvfvx6RWM9r0u9yPjOUqX66M48kkb16W1NZfmFshlUqRTqeJRCIMDg5SrVYJhUJ0d3fj8/kYHh7eNY+12+34jAoylRJ9XSZs6QpVY1U863q9LsRGcvu5p6eH7e1tFAoFjz/+uDCj/+aGVO2eNI0TjUaJx+PCzKO5Mn5QkotxwMqdgLTWc7pnhbW1tRYyHh4eFrNl+bucz+e5evUqjUYDh0M66Lxdkq5lXDXGkaUj4t7K89h24qh2zlHNM+MOPtrokGoHjwS5BShb9vn9fjKZDIlEgoGBAVIpaQam1Wrx+XxMTEygVmt4/T2JgOZG9aIFCK3z2J3m4WazuaUK+s7LFyiUa9itBk4fmicejxMMBqlWq/T1SXM7vV5Po9GgUCi0jVWbnp7mD8+9BMDZxTHW19cfKo6yWCxsbm4yOzuL1WqVqhBfgPc9dwU94/3C4KJYLGIymdrGqu0M885kMtypSCYQx8eGUZXLuPz+FnFUvV7H7/dz5MgRNBoNjUaDeDzOu+++S29vr7QDubHBey9I4q3P/9IvtVRGTqdz1w5vs42jvALj8/m4lAiTrJbp1uo4OzpFOpHAaDS2WOSFQiFu3ryJw+EgGo2KWLNMJsPevXsxGo08f1FKxzna5WBkaKiF6DY3NxkcHMRgMFCpVACpmmx+/gCeaJBbZana/fXFM0wYHdKaTiIhUn1AmmvLKTkyWckEPD8/z3e336ZBgzn9CClP5JFi1TweD3v27BEt4Gq1yh/c/CMAlrSLLeIoo9HI+Pg4jUYDhULRIo5qfv7lcrmze/oxQ4dUO3ggZKIzmUxijmQ2m0kmk3R3dwuTBbnFFY/H6e3tJRAIcGszSjJdwNCl5jNPH0Wrlb5u7Szy7her5nQ6eX9TFihNo9NqyeVyTE9Pt7SAV1dXqdVqYjYLCH/c+fl5MsUK59eltuWBYesucdT9YtWaq85isciPr92hAewb6efo8qIwjzebzUKEJIujent7W7I9myvjH70tWdUdcUjexQ8TR0WjUTKZDKdOnRLX+Ht/8Q0RRv43nnwKl8tFoVAgFosxNDSEWq2m0WiI6n18fFyk5FQqFeFudHFb6gJ8cnSawNYWPT09LV0Ht9uNXq/n2LFj4np8Ph8ajYbp6WlisRiugI9Xg9IB6hO2MVKpFGq1mnQ6TSwWa3EOSiQS+P1+pqenRUtatvFb06ep0WDePMCw1srt27cZGRkReaZyC3hqagqLxUIsJmWZBoNBurq6hJPVK3Fpdn6oa7rtPLa5wpTFUc0z2lQqxVX/VeIkUCvUPD39FJSke3H06FG0Wi2pVIrNzU38fr8QR8mjiGg0Sl9fn1gb6uDjgw6pdnBf/DQWebJ5fHMCyZe/I+0Znjg4RiDgo9FoEIlEUCqVIgbLaDQSCoV2JbnIfrXDoxNcWJVUk8cWBtjc3GzrV9vcXpMrI5nwA4EAL1xzU6s3GLUZ6Ld0EYvFsFqteL3eXSsZ95sZVyoVLkckE/5nlqaFUrk5gSSVShEOhzlx4gS1Wo1YLIbb7SYajYqZ8bVgCE8ihUap5DPLi/R2S0KoB8Wq7TTU8Hg8/MnXpXSc+VOn2Le0JMRRi4uLQqB07do1crkcfX19wkJRrVZTKBRYWFig0mjwsl9ajdmrNDAxMfFQQw256pRnnUNDQ/zw/depUGfS1MNTiwfI5/NcunQJtVpNT0+PmBnn83nMZjOLi4tUq1Xh2yub8P/OpT8G4DHzJE6ns8V4I51O4/f7W1rAMrEePnxYfEfvxDy4/EGUKFhRjwtxVCQSYXJysqV6dzqdmEymlkON1+tFqVQS7o5CBPZaVkiFk7vIuFqVIv+axVGJRELsvcrX2MHHC52n3sEuRKNZKpXMLqJ7UKzazqpzfcPJtbUoAJ/+xArDw5Jl3+LiIiaTSahKr1y5gtVqxWQySX6vajXZbBaHw8H09DQvvneHcqXGYI+RPouG4eEJcZ3tYtXamcfX63XObUgzw+eOLzMxMUE4HObcuXP09/cLY/ZarUY6nWZubq5FBSq3qctaPWvbMVRKBdMGJY1G44HiKLnCNRqNLS3Ar/xIakPPdFvIJuLS/7JZisUie/fuFYeD++3wulwuHH193H5LOmz8p7/2a20NNaLRKP39/fT09Ih74fV6yefzGI1GfD4fb8WC5KoV7Gotz+xZaRFHZbPZXfPYSCTS8vyz2Sw+n48L5RgAzw7PUy6X2dra2iWOkvc15VZrrVYjEAhgMpkYHR3Fn4tzNbmFAjhhnmB+tDU/Fmgbq7YzzPvHW9Ic9FD3PHtnFoVz1MrKCslkEqfT2SKOajQaoiUtR9EZTUbO35YSaUbyQ+gsupbq/UFkfOjQITr4+KJDqh20oFyu8A//2z/FaNTw9/+rozQabgARHj49Pd0S5qxQKFoqOtmvNlnoolCs0Gc30detxuNptfErFAqkUimOHz/eQsby/qBMdN9/QzIfPzLfh8PhAO4fq3a/MO94rsx6OI1CAU/snRaV8enTp1tagMlkkomJiZaZoWzMrlKpeOGq5P263NfN4vTULqJrl3G6k+g2nE7e8kkE/58fP8Tk5CRerxe73U53dzfhcJhqtSpmhn19faRSKXp6eojH48JT+bf/9KtUs1nUZjNP7N3L9PS08N2Vd09lMlYqlVL82d2VnOa1oVduS05Xn59eJJvJEA6FBNFZLBb8fj92u53t7W26urpanrXsV+uYHOX8umTmf1TnIBAItLRSZTLemXHq8/k4ceKE8Fz+0xuSa9G81oGhosDtdmM2mwmFQoyMjLRNctkZq6bX67lelwj4rGO/IGO5BWwymYQF5uOPP45CoSCXy7G2tkY8HmdoaIhIJMLF4CWSlSRatDw58wR6rV58R+8njhoZGRECrg4+vuiQagcCmUyGl1+5Rj5fQaNRc+DAHioVKcN03759VKtV/H4/5XKZYDCI3W7HYDCQSCQwm81SBeVw0N/fzx9/7wUA9i84aDTqbS3y2pHx0tI9c4hNj5/bWwlAinmTxVKyOCqZTFIqlUSgdLt57PDwMG84pVnfvokBUuGA8KuFVjKWr1EOprbZbCwtLYn0k+9fltZOHpscwu/3C6P0Uql0X3HUziSXhFZPtFDErNNybHiA1dXVloxTOVN0ZmYGq9VKo9Egk8lw8eJFurq6hKHGH3/lKwAsnTnNnvkF4egjp9Ps2bNHrMDI4qidROcKBriUkboJn59awKTuIplMipkhSC3Xy5cvC5cmp9Mp2tozMzM4HA6+6rpMnQazXd2MGbvF4ac5+m8nGTcajZZZZ61W43xRUus+N36IidEJ4vE4TqcTm80m0oby+bzYM5UPK/I8dmpqCk8lQrAUQ6fU0B1RYh2xPpSMQ6EQDoejZc/0hdtSpN8ezTxBnyRMi8fjlMtl5ubmWmL1YrFYS5u6g483OqTaAXDPr9bpygPw2OlZYrHorpUMuW176tQplEqlEOXcvHlTEF0gGOH8VWmG9ulPrAibuwdZ5MlkDPfEMW/fDNFowMJ4L1MjfWxtbbWIo0CaLfp8Pux2O4GA5E6UTqep1WqsrEjtzBevSkKcfYNmJicnH0kc1TwzVigUXHJ6ieRLdGnUfOHUYfQaNRsbG9RqNXQ6nRBHRaNRtFptiz1fs3PU//KylJhyamSQcDC4Sxy1cyWnUCgQDAY5cOCAeJH7wyFcF6TW5K88+1mhSg2FQtjtdkZHR8XvKMeq7ZzHarVanDoFlXqdWWsPxlyJeC3fQnThcJhMJiOqSbhXdS4vL5NMJnG5XHxzXfL6PW0Zol6vU61WqdVquFyuXYYaO+ex8vPPGGCrmkKtUHLaJvlDm81mjhy5t8bi8/mEwjYWiwnnqGKxKLyJXy5K92VRPcreheUHxqo1k3Fz1bm6vsZqTepKPDn2BBOGCSGOstlspFIp3G63GHs0Hxg66KBDqh9zNOeHajRdvHf+eQCmJvWo1er7rmTICAaDNBoNTp8+LT77+vffo1ZrMDJgQaeSxC7ZbFZEjMkWd9lstu08VhZHnf+W1Pp9/MDkrlg12cbPbrczPj4urlFWtBoMBoLBIO5ICud2ApVCwfGZQdLptGiz3m8e2y4/9GayCMCZ2XEUtSprzs22ZCwHk8diMQKBANvb21itVoxGI16fj5c2JFHQJ8aHW4hOjlVrntE1k7G8AhOJRPiXf/jvaZTLdPU6+Ad/42+Qz+eJRCLCHziRSLC6uko4HGZwcJBsNisEQtvb28Ks4PlXpLD3Y0Zp1alZTS3HqjW30t1uNzqdTpCIyWTignON9VIKJQr+5t5T6Gtw8+ZNcrmccI6Sn7dc5e1sAU9NTfGlLWkd55htkpDbx8jIiFi/kWeYzRmnvb29pFIpxsfHRWWcLxZ4/fIVAI4YZsVBJ5VKYbFYHjqPjcfjRKNRKkNVCp4C3WorA7V+7ty5w/T0tCDjrq4uisUihw4dEmTcQQcyOqT6MYasVOzu7iYajXLjVoxisUpPj57HTu8VldGDLPLahXm/d1Vq4z19eoGJiQmxj7iysiLmhbdv3waklJCtrS00Go0gjvn5eYKxDLfdYRQKmHKoH0kctVOp3NXVxVffln7OiYUxluZnSSaTvPvuu5jNZiGOUigUZDIZ+vr6ds1jVSoV0zMzvPwjafZ4dLiHcDj8UDI2Go1kMhmOHTsmrvEH126SKZWx6bRMGKT1C7m1PD8/LwijVqvhdDrp7e2lv19yN6rX68LG8dWXJVvCE5/6FKFQCI1G07J+Uy6XMRgMwpsWJBJxuVzYbDbC4TCxcpH3QtKK0a8s7BOEKpsVNEeWyTZ+zfPYWq3GxsYG75Sk+eQxxyiOLiObm5sMDw+3tIDdbje1Wo2uri6hApZNP2SjhBfDUmv9gLKPxcVFGo2GyICVzSrk+yjHqu2sOl9ce5scJSxqA8/On4G6lGc6PDws9pDr9boIfRgYGKBaraJWq8Xa0NzcHH/g/kMAFtTzpFPpluq9HRl30EEzOqT6MURzmLesVGw0GvzBH0rEcfjgMH6/RIyyqcPy8rJ4qT0oVs1q6+f2prS8f3z/KHfu3GGsycZP/vsLCwstZHznzh0UCgVarRa3280P3pX8VueGrSwv3Ps58nW1m8fuVCpHYzHevzuTfWb/NNlslkgkwtGjR1vI2O1243A4hAilWq2yvb1Nb28vw8PDXHQHiOcKmLRqjk2O0Ou4ZzV4P3FUuzDvF+5Iv9Ozi3PMTE2JGfHi4qIwu5dnhrJ7k7xX6vP5mJ6eJhiP47tbjX3xmWew2+1tlco7laoWi6VFlfrtc6/QAPbb+7E2FLhcLmKxGNVqlf7+fiKRCHa7nUwmQzqd3pXkIs+MX37zXQCe7JW6CVNTU49ExnNzc5jNZlKpFC/deZ/tYgodKg4ZhvF4PNhsNuLxODqdjunpabG+0jwzbn7+2WwWlzEBeThlXyGTSovDz84W8IkTJ9BoNORyOTE+6O/vp16vc2vjNldyUofkeM9RxnrHxHd05zy2gw7aoUOqHzOUSiXcbncL0VWrVa5fX2XtjiRaee65I4wM23A6nYyMjKDVavH7/dTrdcLhMBqNhp6eHlKpFFarVbzo5ufn+daPr9FowOxED7VKpqV6k8m4XUpKc3utUChw7ra0LvLpk0tEo1ExW7Tb7ej1emGbt3XXrGDnPNZgMFDUmtlOZtFrNYybVWJdRoZMxs2EIa8NnTp1ikajQSKR4OvvXALg2Ggf2UyaYkGKlpP3Hh80j5VnhgarlUsh6f5+am56l6GG7BbUvKaRy+VYXV2lUqkIb+J/9vu/B/U65rFR/vYvf6FlHru9vc3MzEyLOMrj8eyqOp1OJ28lJJ/jz00u0Nvby8bGBjMzM6JiLRaLXLt2DY1GQ3d3t2ilJpNJ7HY78/PzrKbCuLJxNAole5UWFhbujQUikUhbMg6Hwy3XqNVqeSMtCcmeGNjD/PQs+Xyemzdvinu4tbVFpVIhHA4zOTnZ4hy1vr5OT08PIxNjvHN3x3Wu0k+xWGyp3mWlcjMZZ7NZFApFy57pT7wvUc1V6VHa0KV1ODNO8vm8ENbJ39EOOrgfOqT6MYKsAt3pVxuJRAhu16nVGkxNOuix6bhz506LX60sxpF3D+v1OvF4nHfeeUd45bpcLl54XTIxP3lgrO089lHCvG+7tgklCmjUKp44PEu5mKNQKAhxlPznLl26JFZOUqkU5XKZVCrF0tISRqORr35XIub9ozZ67T1t57EPC/NOZXO8H7xrwn/iIJNjA/j9frxeL93d3UIclclkKBaLLC8vi6qs2Tnqx+suSrUaY1YLiniUobv3tlqtioOOPDNWKpVizWR6eloobxuNBq+9IKmqTzz1lCC6SCSCSqVq6Rw0GyrIkNeGtIN93L4cQ6VQcNLaJwh1Z9rQ/v37d5Hx6OioqOi/EpDMPQ7oHdhNUoauSqVqO4/1eDxoNJpdNo7FSpnLFamF/HTfkviOHj58uOUwFg6HOXToEIlEgvX1dZH8Mzg4SKFQ4HrFQ6FWolth5MTIPkx31dTyfmzzPFbOOLXZbOIa5ed/uXgVgNO9p5gemBbiKNkZq4MOHoYOqX4M0Gg0uHr1Kl1dXWKfEe6pQGdnZ/nSl+9Gbe0bECsCMtqRcSqVIpFIcPLkSfEiX9sM4A2mUSoVLM3YcLlcVCoVQqEQg4ODGI1GGo2GmBk2J7nIRGez2VgNSib8J5bHiIQCu8RRMhmfPHlSfBYOh2k0GuzZs0cSCW1v85MrUlj2qdlBMZfM5XIEg0EmJyd3xaq1c47azNcoVGoMWEwsD/eKFuCBAwfEvZXFUVarlVgsRigUIhqNolAosNvtRCIRfrgqXcuJATuzs7NCJRuPx4VFokajQalUkk6nRZJLc5v6h6+/TvzOOigU/NPf+i1GRkbY3NxkcXERvV4v1Lh+vx+r1YrZbBarQaFQSESW/dvrkkDpUHcvmkqViaZnLacNNc8RZTJuMYJIJnlzVWrF//qeoxgMBjY3N4WhgrxnrNfricfju5JcNjY26O/vx1MrkKwUsGkM2OJV6GaXUrl5ZqzX60V7/dSpU6hUKiqVCv/22vcAONg1TWh7m9DdZ1itVsV6EdybxzZX76VSSQoFGLHjvBu8ftC8n9XV1RYy7qCDR0GHVD/ikF15FhcXqdVqouUZDAbp6+ujXq9ze9XNrVtBFAo489gsY2OSX+mDLPLahXm/9KYkCjq0PMrK0pwg49OnTwtBjsvlIpVKMTg4SCwWI51O09Ul2QZOTU2hUql55ZLUDpwf7KK/v/+BFnnNYd7yNZpMJr775iWypSo2YxfPnjxIPpfl8uXLklmBwyF2Zev1uvSzdsxjY7GYdNj4liQKOjszgnOHRWI7Mu7t7cXpdLbMjD3hCBfuhpEf73fguvvizmQyDA0Nsbi4KO7j1tYWCoWi5VCzvb1NsVjkL16Wdid7F/cw1mPH4/G0XLdGo6FSqXDixAlxjel0mlu3btHd3U0ul8PpdPLt9buRaEOTDA8PA/dPG3I6nS07vCA5B93Mx4hXi5jVOh7rnyQejtDV1dUijopEIgSDQSwWizj05HI5kskki4uLWK1WXrgtRfod1AwwOT7RtjLeScZ9fX2YzWaq1aoUY+fZYK0q3d9fnv0Ek8ZB3G43SqUSo9HYIo6q1WpMTk6KexYOh0mn0+zZs4dXY69Tp86IdpiML9OiVO6gg0dFh1Q/wmheyZCh0+kolUpi/aLRaPDlP5acbKYmbYC0AlMsFsnlciwtLQlSa5fk0iyOef92GICzx6ZFC1AmOpVKRaFQoLe3l5WVFXE9slDEarXi8/lY20oQTebo0qh49rED4me3m8e2C/OW/Wov+5IAPLF3CgUNtre3hTgG7glP1Go1SqVStFJDoRB6vZ6pqSmypTLvbEqOPEfuxrzJuJ84SrZxlO9NKpXi2+9fpQ4s9tk5tbJMuVwWfsW5XE6IowIByZiir6+PWq2GQqFgY2NDmFW88n1p3ensU09RrVZbiO5BZHz06FFxjW857xAo5elSqTnZM4jL5SKXy5FIJBgcHCSfl+bFtVoNj8fT4qksP/+RkRHOJ6Q9zqcGpvFsOtuSscViYe/eveJ6ZOeopaUlkskkq84NXgutAvCYRco7tdlsFItFMplMy72VxVHNbepMJoPH48HTnaaaqDGm72NQZePWrVttM07n5uawWq3k83kCgYCYYVutVpxOJzeq0mFjWbPE/My9+9hBBz8NOqT6EcTDVKA7larnL0qrFZ/65D4mJycJBAIolUqGh4cJh8PU63VSqRSFQoGBgQHK5TJ6vZ5UKkUkEmF6epoNT4xAKI1Oq6LXUmFsbLIlKHsnGTeHeTfvmX75xbuuRfsnyKSTxKJhIY6y2WxEIhF6enqIRCK7klwikQjZbJaxySnOfU1SpR6b6sPlcj2UjOWqc9++fWg0GhKJBN+7fIVKrc6wWc+QUcfW1hY2m43t7e37iqOmpqao1Wo0Gg38fj8KhYLLqRwAzy7MkUgkWlYy7Ha7qIzlg04mk2FtbY1oNMrQ0JB0LW+8TnZrC1Qq/r9/9++Jny2HB4yMjLSIo5rJWL5Gl8vFiwGpSn5yZJLJkRHxO8luQsVikbW1NfL5PH19fWJmXCqVAKmirzbqvBiUSHUvprYBB80CrmYylq/RarXyA+/7lKkx1NXN0wuHqdVqXLt2DYVCgdVqFRV9PB7HZrO1jB8CgQCVSoXFxUW+tvolAA5qp/F6vQ/NOJWv89ixYy1rYydvHuOJsccZt40/6D+vDjp4IDqk+hFDu6Ds5iSXnX61jYYRvz+FWq3k6JEJ7ty5Q19fn1CByvaDIyMjOBwOQbAXLlxApVIJS7/vvbgGwN75Pvau3HM8klvAO6uOdmHebo+Xy5uSQvaTx+ZxOKRWabMxezqd5uLFi1gsFiGOksOth4eHmZyc5KWrmxTKVXrNeiZ6jOJgAQgV805x1E7nKLVazTteSSH73KElpqamSCaT3Lx5E7vdLsRRlUqFSCQi2r2ym5Db7WZkZIR0A26EIigVCua0SjQaTYuASybj5lZ6Op3GYrG0tIX/3v/8LwAY3rcX7V2CTKVSopsgV2X3m8e63W7GJsZ59eprAHxqeJrV1dVdZOz1ehkdHW0RR7lcLgwGAwqF5Mf7bipAulLCqtRyevhetSxXxs33sd08VlYqX1dIArCn+xcpFAp4vd6WfFSZjGdmZlpi9QKBADabTTrg5GLcyLoBOKSfYWxwjHq9jkqlwu12o9FoHppxKreADx081Nk97eBnRodUP0Lwer0Ui0U0Go0Ic04kEiiVSpaWlkRVJkeWzc3N8ZWvShXd3pUhwmH/Q8m4Wq0SCoVaXuTlSoUL118F4MjygKgwtre3MZvNgkTka2ynAq1Wq6RqBrKFMnaLgaFuDX6/fxcZy3umzWS8tbXF+Pi4tKvocvGdtyUF59EJBzqdjnq9LlZbmuexsnOQzWbbpVTO1+FWOAnA04vTgozlTNF6vc729jaVSkWkn8hVaCaTYXh4WBIXuaQuwFKPlQML8y2VscvlYnJycleY9/DwcEuben19nUsvvwLAr/36rzMxMYHL5WJwcBCHw0EikcDtdhOJSPvBcp5tT0+PUCUvLCxwLuQjWsxj0WgZKtZaZoYPIuOdsXqvuSWh03PjSxj1Bnw+H1tbW0IcJRvhJ5NJIY6SsbW1hVKpZGBqlHff/g4AB5V94mAi434Zt9vb20KgVCqV+OrGCzRoMK7qxVjR4HK5RNLRzMyMuI/N4ig547TZOar5Gjvo4GdBh1Q/AnjQfqRMiKFQiEqlwvb2Nnq9HqvVSiQS4fU3pTbewQODu/JD26lA0+n0rhfd6+/eJpOrYDF18eknD1Eul9ja2uLQoUPCNi8QCAhxlE6nw+/3093djd/vF0kuX/4PkijowLQdlUr5wFg1uEfG8jX29PTg9Pq54ZcMH37tiaMolQpu3bpFMpkU4qhEIiFCppv3Y5vzQ79zfYMGsDLcRzYcZGBgQETWyYkvNpuNqakplEolFosFr9eL1WoVyuB8Ps93r78IwNmxYZGYUiqVRAW1UxzVTHSZTAa/38+59TuUYjGUOh3/4Fd+ldXV1RYytlqtRKNR9uzZI0ikXC5z9epVdDqdILqvbd5dF+kZZLGpUr/fPHbnDm8sFiMQjfB+XiLvz4zsodFoUCqVWsRR+Xye27dvY7FYWmbGwWCQmZkZBgcH+W7gCrVGnTGNlRnrwK7K2GQy7cq4ValULdcYj8d5vySJ2j45cpzp/mnC4TChUAiz2SyC1GVDjbm5OXEQlI0fpqenxYGhgw5+HuiQ6occD/KrbZ51KRQKvF4vBw8eRKfT0Wg0uHBhnUgki1arYm6uR7TXUqkUExMTLfNY2TloJ9Gp1Wo2tqQVmNNHpohEwrvEUUqlEqVSKWaGILWFb9y4gcPhIB6PE9gO8/Y1NwCfPrUobO7kNvXo6OgucVS7MO93PXFqjQazg3Ym+214PB7sdntLAonP5yMWi2EymfD5pEoylUpRKpVYXFykq6uLF29KL+sDvRYmJydpNBpUq1WxkjM9PU1XVxdKpZJSqcTGxgYTExMtSuU3b94mmC+iVan4tRNHMGo0bGxsYDKZROu30ZBEVDqdjvHxcRqNhrhGOcnl7/7zfwbA9PFjFHO5Rybj/fv3iwNDKpfl7fNS2srTg+Mt4iiHw0F3d7cg+42NjV2xenKb2m2oU6xXmTDaMKdLpJWVtmR88ODBFjJOJBKcOnVKmNF/238egBOGMdLpNGq1GpVK9UjzWHlmXLOq2KpGUaLklG2Zzc1NzGYzKysrYmXJ5/OJEIZCoUAgECAcDmO1Wlva6x108PNCh1Q/pGg2K3gUi7yd8WTxeJxXX5eUl6dOzjA/NyNagBMTE2QyGUE0sjG7RqMR5CK/6NQaHW9dlLI0Z4Z16PX6tmS8s+pQq9WilQrwjRcvUKnWGXKYcRiVuFwu0uk0+XxeBInL1nLt5rFymPdvvyyt9XxieZzV1dW2SuX+/n5GRkbENcqrG1arlUQiwdVNN7eDUZQKODbWK1Jw0uk0QIt6WQ7zbpcferNQBuDM5BiKSoU7LteuytjpdHLgwAG6urpIp9O43W78fj89PZLJ/a3VVa6+IrXWf/ULX3joPFY+JDR3GEKhEC9ubZKv1xg0mHhmYYVkIiHEUUqlkmKxiMfjEXumyWSSZDKJWq0mnU4zMzNDV1cXz78rGd8f1dmx2Wxt04bakXFzrJ4nGWa9EkcB/PriGXrUBtbX10mlUi3iqFwuh0KhYHFxseXAKB9qvrEtqdb3mibZdvpayFg2fRgaGsJgMFCtVtHpdBQKBWZmZkRl3EEHP290SPVDiD/70pts3PFx5plZxialNqi8ktKuBdwuzLtLb+DGTamNd+axOUHGctXR09PD9va2qDBlMdD169fJZrMMDg4SDoe5shqmUKxgs+h48swBtFqJMNqpQOU2dbsw7/dW77rqHJlleHgYl8vF0NAQvb29NBoN8vk8V69K7Uu73S5mxoVCAYPBwPz8PKFklqvubRTAgr2r7Tz2fmSsVqtpNBoYDAZe35CI6ejEMPv3LFCpVLhx4wYGgwGj0Sii1qLRKCMjIy3ZnB6PB51Ox8zsLC+8LlVjR/ukgPGdsWo7yVgOFDh9+rSoOv/Vl/5QCiM3mfjiY2dwOp2Uy2UikQjz8/P09vYCrSSyM1atp6eHC4UkAM+OzeJpQ8bRaBSDwcCZM2fEZ6FQiHg8jsViIRgMkqyWOBeRdj6fHVkQh5Vmq8md89h2M+PLKkkAtr97DIfWxMbGBgMDA0I8JH9HbTabMLsHqbuhUCgYHJTMPN6ISd+HZeXoroCDRCIhVMDValWI4+bm5jrt3g5+oeiQ6ocMweA2Lz1/nVSiyDOfOczk5CTBYJAbN27Q29tLJBIhEolQKBTIZrOsrKyIlmRzksvNWyHS6SJWq54uXQ6bbfSBZAyIXUb5RQ7wB1+XXmxHVgbx+33iz9XrdRYWFlrCnHe2qeUw756+Ia5uSiYAJ5eHdxmzVyoVtra22LNnzy4jAIvFQr1ex+Vy8fzdDNfpXjMzo4M0Gg3R9r7fPHZ2dpZarUa1WiUajZLJZLgcyQDwqRXJhzYcDnP48OFd4qjFxUXS6TROp1PMq/v6+ujq6uK8Z4tQNodBreLxmSn67D1Aq0XeTjLeGebt9/v5s69/A4D9Tz7Bwvw8oZBESCdOnCCZTOJ2u0VXYWhoiGQyiVKpFCs909PTFBp1Xg9I92apoWVgYGCXoUa7jFu73d5CdP/20ivUabBk7WeuZwCfzyeup7e3V4iVSqWSEEe1a1P/q0uSfeRjlinW19cfmYwXFxcxmUyUSiUu+m8SKMXQoGJZMyZi6bLZLN3d3S3Co0AggEKhYGZmhkajQaVSEQHuHXTw80aHVD8kkJ2DIsEyqUQRg1HHgaOSCtRoNLa0UmWBxsTEBNFoVJzUS6US/f39ZDIZXntNav2uLPeysDD/SLFqO6vOGzfXuLEuVbu/9KnDjA/b2NyUckZNJpNogzaLowKBgLDuk9vU33n9JvV6g6lBK5pGiZlHUIHuNALI5/O8sy4pmX/51F4UCgVOp5NgMIjD4RCxYxaLhVAoRG9vLw6HQ6SfyMkoDYsdXyKNTq1m2qgmn8+3VSrLVafZbBZh3mfOnEGhUJDP5/n6m5L70bHBPnLpFM6URHa5XI7Z2dkWi7z7hXnrjEac70nV7n/5m7+5i4zlFJne3l5hslCpVMSeqRyr95PIFuV6jbEuI5/cf0g8azk/dGfAgUzGO5XK5/ISgX5mZAG9Xk+xWGwRR9VqNa5fv45SqRTiqEajQTgcxuFwMDMzgysfZT0bRoWSfeo+5pvGAqFQiHw+3zbgoHlmXCqVOJeW9pmP9yyxZ3qeQqHAnTt3MJlMLeKofD7P9PQ0JpNJqMDltSetVtsh1g5+7uiQ6ocAMtFNTk7y0ndfA+DIqSmcrs22frXNVUdXVxebm9Kfs9lsUtsyluDce1IM2aGDUtSWTAZms/mhzkFyey2UUlGt1pkY6cFulQQuzWRsNpuJx+NCHAVSlXflyhUsFgt6vV6qMN+6AcDpldEWI4hHjVULBoO4Qgm2EjnUKiWPL09SzmdRKpWcPn1a2BHG43HW19fF7DSRSFCpVIjH4ywvL2Oz2fjTn5wD4MCgjdHBgbZ+tQ8L8w6EQpwPxwD4G0cPMjk2gt/vJ5vNClUqIAw15ubmxDOUDyIzMzP8T7/3uzTKZXQOB4cmJhkbG2shY6fT2RKrJs+6x8bGWtaGXr0lHTaeGhgXRBcKhdDpdAwODlKtVtFqtS3iqObnn8vlMI0Ocn3jxyiA48b+XYYaMhk3r27JZLx3715Rgf557AoAy9peDKjJZDIYDAYRcNBuZrxzJadBgxsN6R6ese8V4qi9e/fu+o6urKyIa5QFczKxlstl4ajVIdcOfl7okOoHHBsbG2QyGelF11Dw7hvSCszCXvt9LfJ2xqrttPF7+eVrVCp1BvotfOLxA6IyslqtVKtVYagQCATo7u5uEfU0J7n84Te/D8CBBYcw3Jchi6PahXkfO3ZMfHbHHcC5nUapUHB4TnI/KpfLhEIhBgYGRLsOaDuPlcO8b4Sll+yx2RGi2wHMZjMTExPUajXq9bpIGzl48CBKpRKVSkUoFBJrQ/F4nM1NJ89fkSr405NDxONxFAqFuJ7myvhBYd7ehpJsuUKv0cCBwX7W1tbo7+8XPrvN4ihZAOX1etne3katVouZ8df//M8BOPTEJ1qUqnJl3E4ctdM56pprk2sZyWTh11cO06vR4XQ62b9/vxSPVywSDAbxeDxCHOV0OjEYDCSTSXp7e5mamuLfr0sV815jL+aGioEd4qj7kbF8jTLxv7slzcK/OHOcYfswPp+PK1eu0N/fLww16vW6+P3a7fA662ESwQwmlR5TGLS92geKo3ZCqVSiVqup1WpUKhWUSqUIM+igg58VHVL9gEKuOgYHBxkbGyMWi3HxnJNspoTJomVq3kEwGBSCovsluex0Dsrn82xsSrZ5Zx6bE+HYO1cyAoEAx48fR6lUkkwmuXPnjiC6XC7HtRt3uLYqqTSfPLXA8LCk+H2QCrSdUvnlC1LFvH9uiKX56RZxFEht3bW1NdLpNAMDA4TDkr+wUqkUSk6VSsVLV6UVmKVePQMDA6jVaqrVKpVKBY/Hw+joKBaLBaVSKarOZr/a3t5e3ln3kCpVsOp1fOH0ERq1Gjdv3qRareJwOIQ4Kp1OYzAYWlx5mvNDv/wjad/28YkRXHcdgXbOY5tnxnq9nkAgwN69ewX53PF48N8NI//PfvkL4qCzvb3N0NAQU1NTglDleeLOeWytVmNd05DCyB0DaPNF/NloCxkXCgVKpVKLOCqTyQgj/XQ6LfkXO6XZ+RP28UcWRzXPjN1uN95Ghkgtj16l4bRjlu3gNiqVSjxrkMg4nU7T399PMBgU1yOveWk0Gt4ISNeyqBxhdmrmgYYa94NcnVarVer1OuVyGY1G02Jl2EEHfxl0SPUDCNk8vjkf02w28/456aX++DPLTE9Ltnnvv/8+drtdtEvlNJjZ2VmxNtCc5NJjH+D9yz8CYGrKQKVSeSgZVyoVtFpty57pn3zzHRoNmBqxokR6mRUKBZFnKr9km8VRO9vUg4ODnL8jkeQnDkqilZ1kHAqF6O/vb9kz9Xq9lEolEQN2ZztJMJFFq1JydmVK5JGmUinS6TTLy8u7XHmaxTGyUvlyRFqZeXLPFI27VfDs7KwQcDW3gGu1miC6YDCIwWBgcHCQVC7Pa5uSKOjUUH/LfZT9apsruvuFef+Lf/f/iDDyv/ncc4KMDxw4IFk6ut1UKhVhqCHPa3U6HZubmyKK7vkXpNbvcYMNpVLZVqncjoz37dsnPjvnWmOrnEWrVPHJ0QV8Pp+oKoeGhojFYlSrVdRq9a7AeblNPTExwbe3pPi7x+yzeDacu9KGZDKWBWUyGff19bF3715KpRLByDZvRu86Zhnm8Pl8dHV1CWJsvo+PArVaLdrBcjxgR8TUwc+CDql+gNCsAt0Z5p3PlVi7IYmCHntqj1jJOHHiREsLMBqNsri4SCKRIJlMUigUiMViDA4OUqvVePf8OrVanaFBE/v3zbSoQGWi2xnm3dPTs8vG79xlyR3o059YYXJyEp/PJ+LgZKVnMpmkWCwyMCBltNrtduFuMzs7izOQwLudRKNWMmyuMzk5s0sc1Y6Mh4eHMRgMYmf2S29I6SJnliYw6rvY3t4mGAxiNBrp7u4WIqRUKrXLlUcO856Ynub170nz1OOjvXi93rYWee3CvA8fPoxOpyOfz/PnFy9TrFYZMOgZ1etwuVwiU3RoaOih81g5P/StVyRbwic+97ldZKzX62k0GqTTaSGOkivyYDAonKOu+b1cj4dRAv/JymEcFskoQ25TN89j5QODTMbN1/hKSjoknOmbZMjmwJP2tIijGo0Gq6urQjTVPDNWqVQsLS1RB14KSzvEyzUbs3ta29Q+n6+tOKrZUEOlUnExuUaJKnatlSfnjkMDbt261TKP/Wkht4M7IqYOfh7okOoHBO1eIs35oRs3U5RLVQZHbDSUGVSq1pUMr9eLTqcTZGwymfD7/ajVahYXF2k0GmSzWV544QoAhw+NsL29LUijVCo9dB4rJ7lo9DZcviRKpYITB8dYW1trEUfJmaLj4+P09PSIv3vr1i0UCoUgum+9IVUueycd7Fu5NzN8UKyaTEDValW6xmCQK1uSLeGnDs4JcdSRI0eEOKpYLHL9+nWMRqMQR8nevRMTE4yPj/PqqotcqYzd0MWe/h4G7qbAQHuLvHY2jvl8nte9Usvy83sXmZ6eFmsvzeKoYrFIOBxmfn4eu90OtOaHrvp8RG5Ls91fffppDAZDCxm3SxsKBAIYDIaWVurX35Ha0IdsfRSiMZzRGKlUinw+L3Zz4V7AQfOBQSa6iclJXnO9BsDT/ZIJ/05xlLySs5OMh4aGUKlUeDweruQDJCt5TAoNB61j5PN5jEaj6Iw8aB4L92bGG7oI5OFMz17yuTw+n08EvP8s6IiYOvh5oUOqHwBEIhFisRhdXVKVBdJLTd4zNZlMvPmK9JLds8/B+Ph4S3vN7XYzNja2q+ocGBgQ7TWA1VU3bk8ahQI+/9wx7HYjbrebWq0mVk5AWmNRKBTMzs6KF29zkstXv3MJgJX5fhKx0COTsWwBKF13mfdW7+6mLg23EJ3FYhEtVpVKJZlVdHUxNiYlkCgUCra3pXlcXttNMl+i29jFuFVDKBTaJY6Kx+McOnRvlUR25Tl06JCwzfvGucuAVKVWymUKhQJqtfqBsWo7Y/WqGi3Xo5Io6NmFGUHG+/fvF88gGAyiUCg4c+aMECglk0my2SxDQ0OEw2H+19/7XWg06Jmf47knnnzgPFauOsfGxnblh74alSrGL87vZXJiUvwuvb29FAoFwuGwEHD19PTg8XgwGo0Ui0VAcmW6GPOxXcxgVGmYLKlZWJjdRXTtyLj5Gk0mE//2srSb+smhFcaGR4hEIly+fBmbzSbEUbJ70+Dg4K55rF6vZ3hqjIuXvwrAfG2ARCLRQsY/D3RETB38rOiQ6l8j5Jex1WpteTl4PB4cDgfz8/PEYjFcmz6uXnQDcPjUBJFIBIfDQSqVEqrbnS3g5nmsnB/q9kgvy6XFIcxmDWtra4yPj+8i4/n5eUwmE8lkEpfLRTAYxGw2Yzab8Xq9vPKOpEA+unfokcRRO2PVEokE565ukMyWMeq1PHtmP6VigWAwyNGjR0XKiNPpxO/309fXJ2LJzGYziUSCsbExzGYz/+FrUpv08LgDfVcXw00JJPIOb3Mrfad5fFdXFxueLa4GJTL8jTPH6O8x43Q6iUajDA4OCkONarVKqVRiYWGhZR4rh3l/+/Y6tUaDPX0OCqHtFjKW26vNGbcWi0Vkpvb19QESab/+I2nm/fgzz+D1emk0GiSTSbq6ulqyQiORCKlUqqWik9vUJbsVby5Dl0rNiZ6BXYYaKpVKHNpkMq5Wq9y8eRONRiMq+q/5rwBwzNjP3NS0+DkejwetVtt2HrvTOSqaSnClLO24PtO/RCaTIZPJcPLkyRYydrvdWCwW0uk06XSacrnM9rZ0H202G28mblBpVOlXWlnsmRSV8c8bHRFTBz8LOqT614Rmi7zmqmNnmHdfXx8vfu8ajTrMzPdz9PgKhUKBK1euoNPpsFgsYvcwnU5jt9t3OQfJYd6/+/tfA+DA/sFdsWrtyFir1VKpVDh69KioOq/d3iIYyaBRK9kz1S3EUZFIhKmpKRGe/aB5rF6vZ3VbIvjH9k0QCYdoNBrMzMxQr9epVCqk02mxZ6pSqVCpVCQSCXw+nyAjfzDEa9cl9fAz+2dEi/RBrjw7Y9U2Nja4FM5QqdeZdNiY6bOJBJpmctja2qLRaNDd3S3+fyKRoFQqMTk5iVKp5IerGwAcc9ha7m27WLVmMm42j//K979PdssHKhX//Lf+34z197OxscHY2FiLCb8sjpLn1EajUXgqz8/P86/efxOAEz0DFJKpXeKonYYayWSSUCjE8vKyII9kJs3bt/wAfG58GZ/PJ4mF7oqj6vU6iUQCk8kkOiM7W8Dd3d0ErXUKvjKDXVZM8QrFrmJbMm4Wo4XDYRqNBmfOnKFUKhGNRtFHq3xStY+50elfGKE2oyNi6uAvgw6p/jUgGAzuSnJ5UJj32nWpijr95B5Bxvv379/VAhwZGaFQKIhWajAYpLu7m4GBAdzuCC53DJVKwZEjY4yP3avods5joZWMm6/xhdcko4aThybZMz8ryPjgwYOism0WRxWLRYrFIgqFQsSqqTVa3rj8AgCzfVqMRqMwPa/X6yJZZmRkRFjuybuHzarUr79ynlK1xqDNxOJoLx6PR8wsBwYG2N7epqenRxg8tFsbmp6e5nfOS4EATy1MsLa21paM27WAJycn6enpIZfLcXljk2vBEArg9OigMK7I5XJoNJpdSS47bfzkMO9vvijdl9GD+7EbjWxsbLSQsdFoxOPxCHFUpVIhFApx8eJFent70ev1bDid/PGapJD99Oh0i6GGPI9t7jDI4qidSuW3Y16y9QoOnYFPjM8Tj0oqX1kcJe//3rx5U4jR4vE4pVKJfD4vAsdfvP4aAAdV/fT39z+SOKq7u1u0gOXfc6pvjFOD95zD/irQETF18NOiQ6p/hajVaqyurtJoNERl0dPTQygUwmq1ts0PtZr6uHMriFKpYHqPlVgs1paMd65kRCIRTpw4gVKpJJvN8tU/k+aX83MO6rWSmFMlEom2LeDmeey9l7GVK2tRAB4/PiNWMmQy7u/vJxAICHEUIGLR5D3T7e1trmyEyeRLWAwanj61D41aLRydQiFpRvsgFagsjjnnlNZxnt4/S3d3N9FolPHxcSH+qVar3Lhxg1qths1mE8bsiUQCi8XC3NwcsWyeiy6pGtvnMD40Vq1d1alUKnn57hrN0dFhDi/uoVwuc/PmTaHUbT7oDA8PMz4+jkKhEPfWZDIxNTXFuz+WSPWZT35KHLJkyErlne3eYrEoiA7gpc1V8Xfm1VIbVxZHTUxMCAKTD2Ojo6Nt14Yu3G2Jf2poHrfTtUscJc9jT58+LT6TE2bkoPRsrcQ7UamCP2uTOhFyOEM7Q437zYybxVF/1eiImDr4adAh1b8iyC+RhYUF8RJJpVLcunULm80m5kyysfvCwgI2m41vfuU9AKbm7AwO29uqQB8W5p1Op7l6TSKgZz99gMnJyZYw52ZxVDqdZnFxUbRI5cp4amqKG+sh4sk8ZqMOs65AX9/EQ8l4a2tLJJA0Gg1qtRq/94NrABxbGGQ7GESpVBKLxVAoFExMTAhyeJAKtG9olIt3TfhPzw1x586dtisZ8/PzLdcoWynKOa3P3/bQAKZtJoZtVorFIl1dXQ+MVWsmOvkaL8RSAHx6z4xQKu/bt28XGR87dky4MRWLRbGHm8/n+cPvfJtiNIpCq+Uf/e3/nJHBe4Ya7cRRcph3c9Xp9Xp53iOpqn91epG56ZkWcZRMrtFolFwuJ2bGuVwOtVotRgClRo0fBdYAWKp2MTo6umtMMTo62tbGcejuXLunp4c/uvYTajSYMfZxfHKJeDzOjRs3UKlU2O12USVXq1VUKtVDd3j/OtERMXXwKOiQ6l8B7udXK88rZUSjUdLpNAcOHCAej5NIJHjph1cA2H9sRMScVatVtra2ds1j7xfmnc4oicXydHVpOHJ4XOxHNueCer1eHA4HS0tLJJNJPB6PWOrv6+sjGAzykzclgdK+BQeLexZ2tanbxapNTEygUqnECX9t3ck1l+SL+4UnDzE1amdzc1MYs+dyOfx+Pz6fD5PJJGbGZrOZVCqF0Whkbm6OP3/zGrV6nXGHBaumwejUw1cyotHorhbwmz+UzBG+cGyfyPL0eDxiNuxyuVCpVMLRp12SS8VsxRlPoFWpmNEodxlq7BRHdXd3UywWxcxQbqV+6R/99wBMHT1C9e6hoFgsUiqVWjx17xdwsLm5Se/gAG/HpbWez4zNcufOnRYy7urqolwut4ijGo0Gd+7cIZfLYbPZ8Hq9vBB3A9Cv1vOp5cOiKpfb1A/b4ZUPDu9XpcPcM/1Lwn+5WRwld2/k30021Ein0wwPD7dUxh8EdERMHTwMHVL9BeJ++aGyX227MG+56hwaGuLcW9eIbOfQaFR87ounUKrqrK6uUigU6OvrE2pb+dTcLlZtenqaP/qStM5w+NAYHo/roeIoq9UqKha5VZjLF3jn0ouAFPMmt1Lj8Th2u73lwODz+ahUKi0CpXg8Lhk/VPWUKzVG+qz0WzXCtaj5tF8oFDhy5Ii4xmKxyM2bNzGZTGJm/K13rgNwam5QeBM/yCJPr9fvqjr9yQyuRAaVQsFTi9Misq65lRqPx4UHcjQaJRqNCgOLqakpzGYzf/yutGK032FjZmzskcRRO52j1u7c4fabbwHwn/+tv8Xk5CRbW1sYDAYcDoeokuPxOOVymeHhYWq1GnBvbWhubo6X/C4ylTJ9XQYsyRxTM62GGm63u0Ucdb+Z8Tsu6TtzvHcMn88nWtd6vR6bzUYymRQZvvcz1LBPDnP13HcAOKQZYGtrqy0ZN3dvZDJeXFwUz/+DiOY5q9wO7oiYOoAOqf5CEA4kOffyNazDCg4e3ifIKp1Os7293ZLkcr8w783NTW5flRyUDh6fpEuvFuS3swXc1dWFQqEQRBcOh1Gr1YyPj1Ot1njrbWmmtbLsaHn5yZVxu1i1nVXn8y9fplSu4egx8tSZg1Sr0oFhZmaGQqHA5uYmtVpNiKNsNhuVSkXsv9psNoaHh/nDF58H4NCMg1Kp9EgrGZlMhoMHD94z4ff42YpnAXhi7zRut5tCoUAkEmFwcJBMJoNGo0Gr1badx8p+tT/alNreRyeHiQV89yXjZlWqrD5eXFwkn88TCAb53nXJKejs2BDBYFCQk5wf+yixaj+4cF4KIzeb+C+e+zyrq6stZGy321vEUZVKhWg0ypUrV+jq6sJms+HxePiLdUmg9LhjiD1N97GdOEpOctmpVF7dcnMtL83O/87CcfqUXS3iqHq9TjQa5a233hKxek6nU/z9sbExBgcH+VPvezSAeZ0Du9pA33SfuJ5mpbIM2VCj2VP5g4yOiKmDduiQ6s8ZjUaD7/zxa7z09escOD3D0soCsViMSCSCUqnEbrcTDAZFOsn9klxmZ+f4nX8mrUUcPim1bJuJrh0Zy1Xn8vIyBoOBTCbDy69cIZUuYDBomJm2iV1AWayzcx6rVqvbtqnvePMAPH5shlhMCvOenZ2l0Wig1+tRqVREo1GOHz+ORqMRvrQ+n08QnW87yoVbUsX1mcdWGByUKrWHqUDlFqC8kvPydckicf/kIIuTo/j9flQqlRBHyf9eLBYT4ij5ntVqNZaWllAqlfz4hnTY2OswCbN2uJdxulPAJbtbyTNjvV7PlcA28VIZk1bLrxw/gkap5Pbt25TLZeEcBdIBRjbhl1+6zfmhv/k//CMAls6cIRwM3lepLB/G5IzcgwcPiso4ns/y7ntS6/cx24AQRwUCAfr7+8W8unmHt12b2mlsUGs0WLT2oc+WCRfTu1rp6XS6xQs6lUoRCAQYGBgglUqRTCb5nl+q4E8YxoStpHxg3CmO2tzcbOnefFjQTsQkr4B1yPXjiQ6p/hwht9duvCsRx6lPLtHd3U08HmdxcVG8REqlEteuXaOrqwuTySQqTNlsYHp6mltXfUTDGbr0aqbmexifGBU/p12sWrsw70ajwYWL0rU8fnaBmZlpstksa2trWK1W4dpUrVbFTFSeJcovur6+PizWHs5fkVq/0yNSpTIyMiLaj36/H61Wy+LioniRRCIR1Go1Z8+eFdf9Jz94l3qjweSAFU1dauNms1kSiQRzc3OiRZ7NZtna2mobqzY+Ps67zosAPLV3irW1tV1k7HK5sNvtogqSydhisaDVavF6vWzGUnjjKTRKBWfnxqlWq2g0GuGpvHOHt12sms/n42paOmw8OTtJo1plzeViampqV2U8NzcnrkMmOrPZLBGv38+dt98B4De/+MVHEke1C/P+87VrVBoNpi09PLm0j2w2SyAQ4MSJEyK+LpfLtaQNhcNhzGYzHo9HVMbPvyW1oY9q7eh0upY2dTsy9nq9KJXKlgrzomcVbzWFSqHki/MnyaVzbGxskM1mGRwcJBwOk0wm0Wq1JBKJlgPDhxHNIiZ53toRMX088eH9Fn/AIPvVauoWtr0JtF1qZvb14fF4Wl7Gcgv4wIEDu8zjFxYWyGQykir12+8DsGdfP1qdWsxt2sWqtQvz9nq91Otw67bUxjvz2Kwg40OHDok/J5PxsWPHSKVSeDwecrkciUSCwcFB0uk0V9bcVKo1+u0GDu2dQafToVAoqFareL1exsfHHxrm7XQ6eetuhfnsqUUmJyfFPury8rIQKIXDYWq1Gv39/fj9fiwWC9VqlWw2y8LCAu5wkvVADLVSyYRJ8VCLvPuFeX/p/C0AHl+YYnx4iGg0yqVLl4Q4SrZGzOVyu4Lb/X4/9Xqd6dlZXn71bgpMv51AINBWqdxcdarVanw+n6joa7Ua//2/+T+ol0ro7HY+efhISyt1ampqV5LL/cK8LxQkBfJnJ+bw+6U1IZmM1Wq1UJfLM+NGo4HP5xPPKxqNcjPg4UoiiAL4tT1HsVlt4jt6P0ONdju871SlCv14zxQ9XSZcwUiLOAqkfNxisdhyYPgwoyNi6gA6pPozQ67oHA4H/f39fPnfSBXdwqFh1FolMyP3TvQ+nw+FQtHygt5pHm82mwmHIly/JO37fe6Lx+nu7sbtdhMOhxkYGCCZTJJMJoVX6szMTMs8Vk5yuXwlSLFYoa/PjEqZoaur74FkbLfbhQJUXoEpl8u89IdSFXV4WcozVSqV5PN51Gp1i23e/VSgW1tb6K29rG3FUCjg9N5xbt++3eJXq9frKRaLzM7OCjKu1+vcuHGDRqMhVMBfPy+tiywP2ziwsih+tt/vp1qttp3H7iS67e0QFwPSDuYnl2col8uk02mOHj3aQsarq6sYjUYhjqrVagQCAYaHhxkbG+Md9xapYolunZaDgwP09/WKeyunDe0UcO00j49Gozz/fSns/cSnP8X09DTxeJxQKCTSZmKxmBBHjYyMCFJr3uHNUOe9u0HtC1UlVqu1rVK5HRmfPHlSXM+3Lv4EgIPdg1QTaZyxZEvaUKFQQKfTibWhdju8U1NTvHHxbqasbZbV1dWHiqM+SuiImD7e6JDqz4BMJoPP50Oj0ZBKpUjEE7zxQ0kocvKZPSLMuVKp4HK52saq2e120XKVX3SbqwnyuQrdPUaW9o8SCPgxGo0tS/bBYJBkMonZbBYL95lMhmw2y9zcHHq9njfursAsLzlaxFH3W8lwOp0MDQ2h1+uF8OLajTU2tqQK6Fc+e5yhfqu4bqVS2SKOUqlUDA4Oip3D5iSXr/xYqryXJ3vJpaK7zCruZwSwsLDQQnRv35F2U5/ePyPCAAKBADabDYvFQiaTEQbt7WLVtFot2S4z0WweS5eOCYOaeDzeloz37t3bQsbhcJiTJ08Kq76vnZd+p5ODfeRzWaJRBQaDAa/X26KmbjePbTQabGxskKtW8F+V9nb/m7/9t0VUXHMrVRZHLS0tUS6XicfjQgU+MDBAMBjk+egW9UaDBWM3Z1b2P5I4amfVubGxwespqcL9/PgyYyNjbGxsMDExQU9PD/V6nWQyyblz51rEUQqFgmKxiNFoZH5+nhspP4Fiki6FmqmykYWFmV0BB81k/FFER8T08UWHVP+SkGddzS+/N1+8TCZRxGjpYuHgKG63WxgqDA4OkkwmUalUQiXbjugmJib4zlek1uSJs7NsbKy3xKrJVYfD4RA/WybjgYEBent7yWQyrK05uXhJasEdOTyCz+fDarVSKBSERWLzPDYej7cIWeR5mz+moNGAxZl+bBatsPHbKY5aWlrCZDIJQwO32013dzdms2RO/+NzkkL21PLornnc/VSgO40A3l/fIpototeq+dTRJUp5aT546tQpcV/9fj/vv/8+g4ODYmbcaDTIZDLMzMxgNBr5o++/DsChoR66LeZd4qidZOx2u9HpdC2t1GAkyqWItG/7GyeOMNHfi9vtFqb5oZBkIJ/NZqlUKuzdu1c86+Y29X/3f/zvUKthHhtlotvGwMDAA8VRchu32Tmq0Wjwk+vSHPTx3iE8Hg+NRoNoNCpm3TKh3m8eG4vFUAz24NpIoFGqOGYaYH19vSVtSJ7LNoujKpUK6+vrGI1GqtUqLpeLb0Slmfc+bT9jAw8OOPgooyNi+niiQ6o/JZrzI3dWnZde2wTgxFOLDA714/F46OvrEyYLlUqF1dVVisUiDoeDrS1pxtjsD1ssVrjwjvTvTO0x74pVexAZyy86vV7PxUtb1OsNJifsnDyxV1j2qdVqjEajUIaGQiF6e3uZmJgQL4FAICDUtL/7538BwMGlAZEButOvtvmzUqlEoVDg5MmT4hpvbvjxRTKoVQpWxiUT/kqlwvb2NuPj423FUTtj1SwWCzcjBQAeW5ogHAzs8qsNhSRj/mZxVCQSIR6P09/fTzgcplyr8eINqYX8idlRcTiQ9yPvJ47a6Vd7LVukXKsz2m1hsc8hlMrNQdlut5uenh4MBoN41tFolHq9Tn9/P4VCgR985zsAHHviibbz2HbiqOaqs1Qq8fbtm6zn06gUCn7zwHGsai0bGxsiTScUClEul8W6j8ViIRKJYLPZ8Pl8wjnqt29LavMj5gFqucIjiaNk9y/5GpPpFO95pd/1C9PHhOgslUqxb98+8R39OKEjYvp4oUOqPwVkV56dLzq/38/I8BhX3voWAEefnGsbqybPv3aSscPhoF6v43a7ef/dLcqlKjaHnoUlSWGrVCqF8ORB81i4F+a9uia1bM88NidWMmR1br1ep1gssrW1xcrKCqVSiUAgIFSpvb29mEwm7jgDrDnDKBUKHjsyycT4vapD9qvdWXW2MwJ4/i3JhP/E8gRLe+YEGZ8+fVoIlNLptBBHySYMWq1WeMGq1BpeviYdNhYdXdjt9rZ+te1sHJuv5xtvnqdQrdFnNvL43j3C3KFarQpxlEy0hULhvm3q/+t7kkfv01Pj3Llz56F+tRaLRaiArVYrtVqNN96/ROSWVMH/nS9+EbfbLebVVqv1kXZ4s9kst1VVAE4OjKIslHBGfC3tVdn4/tixY2g0GmHG8e6774oRxabTyffdNwH49NAco6Oj4u/Khho757F6vX7XzPhKLkC6XqJbo+dE7wyxSBSdTsfRo0c/EFaDf13oiJg+PuiQ6iNAfokkEglsNhtbW1t0d3eTyWREfuj5V1bJZ0t0O4yY+1RMTc20VB07Y9XuF+Z96R2pjffUs/vo7u4mEAiwtbVFT0+PyLg0GAwkk0l6e3t3zWMNBgPW7n5u3ZZe+lNTBhKJhHghyov7svWd/B+1POt67LHHxH/8v/vHUlbpwlQP1EuiupVXTh5FBWq3O7i4LplYPHlkZhcZy/moNptNmCzI88Z4PC6M2a9tRUlkC5h0an7p7DG0Gumr204cJe/w7iQ6p9PJe36pZfvM8jRajUa0hZvJ+Pbt29TrdVHRg0RgJpOJ+fl5UqUy73qk9v9hR/dD/WplG8fmaywWi/zOf/yP0GjgWJjnuSeepFQqsb6+jsViEbuy8sy4r6+PsbGxlvtjs9mYnJzk+eclIdkxYw/F4u5YtXq9vusas9ksp0+fFtf4mnuVSLWAQaVhj9Is0oYikQjDw8MiLUi+rnYBB0NDQ1zOSGHvn+hdwLXpbBFHddARMX0c0CHVh6DZCEB+OZTLZW7cuEFXV5cguhe+KRnf739skqmpSTGblFWgzXMk+UW3M8w7tB1n4+4KzOknFigWi1QqFU6ePNmisHS5pMSQVCpFKpWiXC6LPVOHw8F3v3eVRgMmxq2MjfZhMplawqV7e3tFJdJMxjuj3y7ckEwTPvvUfiYnJ9ne3iadTtPb20swKJkMpFIpstlsi3lCc5LLLXeEcCKLoUuDTVNgeHj2oRZ5snm8fD2NRoPffUWyJTy7OI7fJ+WZyoYafX195PN5TCaTWBvaqbBNJpMMT0xy7lvSoeXU+CAbGxttyXhmZmYXGcuEHwwG+e7aJrVGg0mzkUGDnmg0KhTa7cRRGo2mhejkyvj8q68B8Owv/7Ig46WlpV3iqFOnTlGr1aTAepdL7DNnMhkuRwK4Mkm0CiXPza3Qe3c+LBPdw2LV5Of/QkhqiT89NMv81LRIoFlcXBQCpStXrghx1Pb2NkqlEpVKRS6XY3Z2lnKjxusRSRy3p2RmYs+970QH99ARMX200SHVB+B+GaeRSIT9++8pLMPbMW7fNVk4/tQCbrdbzAz7+/tRq9Xk83m0Wu0u4YncArbZbPhdRer1BlNzfVTqacplfUt7Vfb6bc4UDYclw/ITJ06QyWSkF+SLkpr04AFJHKVQKFCpVITD4V2VcTsVqNPppFDVsR3JotWoOH5AanE6HA5BDrLwZHBwkP7+forFIpFIBL/fj0KhoLe3F6/Xy/dfl17WB2f62Lu89EAVaLtYtUKhwJ2NTS65pWr3uePLDA/1tIij5GSfK1euYLVaMZlMwgg/k8nQ29vLzMwMXzt/nXKtxojVyIBezcjIhLiP7cRR7WbGtVqNN/3SYeMLB/cyMTFBKBTinXfeYWBgoMVQI51OMzc3J9r9LbFqd+6Q9nhAqeQ/efJJgF3iKK1WKw5eKpWKRqOB2WxmaWlJ/Lk/euNHAMyZusnG42TjcTKZDMVikb1794rn+qAd3qHREd5ck76/nxqQVmAGBwcFGSsUCuLxOGNjYy3iKKfTST6fF1aUsWqeOZWNsLLAZ1ZOfqzbvQ9DR8T00UWHVNtAfmG0yzjVarW7KrpzL65SrdQZnnRw4PgC0ahk4yfbuFUqFbFn2rx7WKvVxPK7RqPhrZelHcH5lR76+/sfqAKVybi7u5vR0VHq9ToGg4Gbtzxsh3KoVEq+8MunsFj0rK2tCXKRdyVTqRRarbbFNk9Wgc7OzvLvv3YOgEMrI/i23C3imHZGACqVimw22xIbVypXePuG1EI+vmcAt9tNo9EQ4eHNs+mdSS5wz682Uu+iUK4yaDMzaFLj9XpbiC6fz5NKpThx4kSLp7L8DHO5HC6Xi+9dvDvbHevD4XAA7S3y5OdvNpt3zYxjpTJ3EmkUwCfnptne3qZcLnPmzBnx52QynpycFCb8snOUHLz+f/6HPwJgcO8Kpw4d3jWPbd7hvd/M+M7GBq9HpXWqv7vvGJOjk6ITIYuRKpWK+K719fWRTCbp6ekhfpd8FxYWeCPsIlUp0qPpwp6qMDs7+0iGGjtbwKWNDf71yq9gaOqMdPBgdERMHz10SHUHcrkcV65cYXZ2lp6eHuDBsWr9/f3cek96sZ3+9PIuMm40GsKSbicZF4tFenp68Pl8xKM5Vm8EQAGnPjEvyKGdOCqdTuPz+RgfHxfCE9ndaHMzB8DBg2OYTDrW19cZHh7e5cojz8nk9Yvt7W10Op20kpPN8tq7ki/u4aW+lurtQSsZO/1qf/zWNfKlKjaLnk+fPUS5JIWjHzhwgGq1is/no1wuC3GUXq8nHo9jsVhEks/AwAC/+2VpPnx43E6tVtvlV6tUKtuScXMrdX3Lz0Y8DcDnj+4TZvKyOEo2ODAYDGLW3bw2JPvV/uSWVHkfHhki4ffdV6ksX2NPTw9erxe73c7Kyopo477zwx8D8MynPy28i2WzjUfd4Y2auoiWCli1Ok72Du0y1Ojq6mJjY0MYasirRefPn8dgMNwz1NiSPHrPdI+yp+k+Pkgc9TDnqA4eHR0R00cLHVJtgmwef/LkSVKpFF6vl2QyKeZI8hpCrVYjGo0yPT1NOp7nxgU3AENzhpYwZ3ke22wEIJPxwMCACHNuNBq8/APpJbu8f5SxiUG2t7cJBKS1EZvNJgRKhUIBhULB7OwsCoVCBHzn83n27NnDb/9ffwzAkUMju2LV2q1kyK3SAwcOoNfrqVQqvH7uFrFEDn2XmvkJG06nU+xHDg4OtnXlaedXuxqUVmCeODRDNBLZRcZyFSWLoxqNBn6/n5s3bwqi822HeWdV2rf9/IkVIcx62Dx2p3PUa65tGg1YGe5jfqgfr9fbIo4CKctza2sLh8MhDDVSqRTVapV9+/ah0Wj40ap02DhgM7W0qR8UcLDTOegrP/ohpbth5P/8v/mHOKxW1tfXqdfr6HS6FkMNeT9WfsEGAgEqlQoLCwv8k/ekLsCZ3mG2/YGHknE+nycQCHD48L3KOJnP8t7Nuyb8lqEWcZTdbmd4eJhGowHQdh7r8XjQ6XQtM+MO/nLoiJg+GuiQKu33I61Wq7CFa24V3r59m1KpJCqQt36wSqPeYHTWzvHH7sWTPWge2y7M++ZlaTb62FN7hPhjeXlZRG1Vq1XW1tbQarXo9XqxYiPPbaemplhfD7O9nUarVbG02Mf4+Ij4HdtZ5LUL885ms7x5QVK8Pn58jrm5GbLZrEi3SSaTpFIpSqUSoVCIsbExbDbJH1Y2jx8eHkal6eLta9JBYX6gC41G81Ayln+nxx57THz2lZfeo1ZvMNFrRd+QDinpdJpMJsPIyAiNRkNUYO3msXKb+u1XJaerp/ZMsbq6el8ybr5Gp9PJ4OAgRqORYDCIM55kIxZHrVBwZnSYZDKJzWYjHA63DTi4X5j3d1+QKu/ZkycwarW7bPyaxVEajYZYLIbf7xfOUSaTCbdvixe2JIJ/qn+8rTiquXpvJmMZkUiE72/dotSoMWbs5uk9B0ilUkIcpVAoSCaTrK6uitFFJpMhl8thMpkIh8Mta0Md/OzoiJg+/PjYk2q7/NB8Ps/W1lbbMO/JycmWWdf7b/wQgONPL7TMDI1GI3a7nWKxiF6vx+v1otFodrWAq9UqOnUPW+4Yao2KqXmr+NkKhYJ6vU46nSYej4tqCe5VnYcPH6ZQKOD1evn2d68AsLTYS71eIZlMYjQaxTx2pwrUZrPtqjpUag3X70hrJ0+cnBVk3FzRyW5BZ86coVgsEg6HicVipNNphoaGJPejzTjFcpVeq57Hj620BI63E0fdL8z7zTWJaD99eIGJiQlcLhcDAwPs27eParVKPB7n9m1p17O3t5etrS0xo5IPEb5EmpuBMEoFzJnUjySO2hnmrdPp+MPL0kz2zPQ4S3OzpFIpzp07h8ViwWw2iwozk8nQ39/fdod3fHKSK6+8CsDnP/tZwuFwy6GmHRkbDAbS6bRwjgL4zu2rZCtl7BodUxq9MNSIxWLs2bNHzF6bD4ztdngvVhIAPDs8L76jzVWn3BJvNtSQuyjLy8ud2ekvAB0R04cbH1tSjQWT5Crp++aH7gzz3hmrlkqluHllA/9mHKVKwTNfOIamS8HW1pZor8m2bm63m97eXnQ6HS6XS3gFj4yMYLVa+ZPfl/xs55Z66dKrsdv7RWvX7/fT1dXVYoe4c9al0+koFIpcuSqpUp/73FHGx8fwer3cuHGDgYEBYQohOx4tLi4KwmhuU79/a5tsvoTdZkSryGCxDO2axzYbAXR1dVGpVOjv7xeq5EajwW9/826W5uKgqEATiQRKpZLl5WVBYPebx/r9fsyOAW5sSarfxxZGWF1dbSFj2cRgz549LWS8urqKSqVCq9Xidrv5i7umEXt6u1mZm3moOGqn6UMsFiMWj3M+IhHQp+dnyWQyhEIhjh8/3kLGLpdLrPjIRBcMBunv72doaIjf/+Y3qWYyqExG/u4vf4Ghpjb1/cRRbQ01vFKV+vnpRWampgQZr6ysiFlxc9pQpVIRwjjZUCPbqPJOxA3AfFGDY8TxUHGUbOMou4R18ItDR8T04cTHklS3vRF+6/F/zfB8H//173xBmBpsb28zOjrKyIjUNn1QrJparSawJomC9h6bIl9KU8m2knE6naZcLrcs2adSKXw+H2azmWg0SigU5rUXpQro8MlxbDYbWq1WVG/tVKDtdg+3fHmy2TIWSxcH9o/i9XrR6XQtJvwyudntUkxZo9EQAh15dvbqO9Ke4f4FB/NNRHc/i7x2KtAr129z0yOlwPzKM0cZ6bWI30Wr1eLz+ajVaoRCIXQ6HT09PaRSKaxWq7iuhYUF/vQNad92z7Cdej79SOIov9/P7Oxsi1L5ze9K9nu/dHiZaDRKPp8XQfEGg4FgMNgiKGqex8pt6pzBxHYmi1GrYVKrJJ1OtyXj5tQeeW3ozJkz1Ot1EokEf/TH/xGAhZMnKd3tMOj1ejEWeNA8Vn7+xh4b55PSuODZ8Vk2NzdbyNhkMuH1eunp6WF5eZlGo0E2m+XatWuUSiXhHPXDmItao8GUzsKTew8/UtpQswq4g188OiKmDx8+dqQai8X40Vdfp9EAs8XE3PysyDg9cuSI8IAtlUqEw2H6+/vJ5/Ok02m6urpwuVyMjIxgMBh480ffBmB6vwO9Xt+iAr0fGctVR71eB+CdN26QShQxGLWcfWqv8FPN5/MMDAwQCoUwm80olUrhytTuRfe9H7wGwMkT06yv32nrV9tMxg6HQxCdw+GgUqmw5dvm3PvSPPX4/mExm6tUKqhUqkdWgW6lFdTrDebGeukxqrlz504LGet0OpxOpxBHNRoNYrEYb7/9NjabTTgZ/eA9yTbv8cWxXWYF7cRR7WbGN7a2CWYK6NQqnlqepZzLksvlOH369L0943CYS5cuiZWTZDJJuVwmlUqxvLyM0Wjkf/2+NAc91NtDv92+q03dThzVbB6vUqnYjkZxnb8AwD/4O/8lk5OT+Hw+EXYgH3rS6bTYM5WfoUx009PT/MC7TrleY8JkRbEdZeQhZFyv1wkGg0xMTIj5d6PR4LVNKVjgcdvYrrShZvevdju8HfzVoiNi+vDgY0Oq8ovOZDJx+20vAI99/qBYyZBbwFqtllKphEKhEBVmrVbD7XYTCoUYGJCM5X2bMYKeOGqtimd/9RRmq1RNtlOBlkolMdc0Go1CTel2u7lxSWrZHj8zh63HSiIZY2RkRHiyNhoNEfNls9nweqVrj8Vi6HQ6lpaWqFTqnDsntTgX5iyPtJKx0zy+0Wjwxvl1qrUGo0PdnDmxj3q9zu3bt8WfcTqdNBoNUeVNT0+3OEfJKtD/+/vfAeDIXO+uWLV24qhkMkk8HufUqVPiJXHL7ccdzaBSKtg3ZMXlclEul9ne3mZoaEjcR/nAMDTUvk19PZEH4PTsOJGAv61fLdCSKSrPjBcXF4lGowS2t3nXLZnEPz42TLlcFnaNDxJH7ZwZf/XFF6gXpTDy3/jkJ7lz5w69vb27OiODg4PYbLa7nYwQ4XBYGGqEw2G+51qVvr+2/pbK+EHiqJ1K5Qsbt1ktJFAAv7F8AptKKww1DAbJ2tLpdIqZr3xg7OCvDx0R04cDHwtSbU5yifpSuG76UamVOGYNQk0JrbFqzVWH1+vFYrG0VJ0//GPJ43Tv8XGi8TDRuFSpVSoVhoaGRKaoPI+VT/5KpZJcToosm5yc5uK5lwA49pikSt2ZkuJ0Otu2gGVC83q9XLzko1Cs0G3VMT3tEK1UWXjSTgXaPKOVLfJW3VkAPnFiTqhA9+zZs6syPnr0KLVajXA4TC6XY3t7m76+PilUfM3F9c1tFMCTh2cZG7tXvct+tTurzp1h3n6/nx9dlIjj2NwoexfnRQLNmTNnqNVqxONxnE4nqVSKoaEhYrEYqVSKrq4uYrEY09PTKFUqXrwpzR6XbV1tY9XaxerZ7XZxjSaTib949wL5ag2Azx05SD6b5f3336derwtxlPxslErlfdvU3/0H/zUAh596ApfT+VAy7u3tZXNzUzhHAWzFY7wbliraMz2DuN1u6vU6qVSKgYGBR5rHlkol1vXS73PEPooqV8Sb3G4hY7VaTbVa5ejRo51W4wcIHRHTBx8feVINhUL4/X5sNhvBYJDXviaR4ezhUfYdWnlorJrX62ViYqLFr3ZjY4Orb7sBeOqXDzM+Ps7m5iYTExNYLBaKxSKxWIytrS0R5hwIBOjq6qJUKondwwvvbJJNF7FYu3AMapmaumc8/qCqo7nq1Gq1XLgouR89/fQK4+PjRCIR3nzzTXp7e0XLWv774+PjLfuxsvDEZh/kys0XAZgfM5DP59v61TZXnXJVf+bMGVGx/t5fSC3FuREbilpRGLPLK0Iyqcnz2OY2tUx0/f39vOuUZoZP75/ZRcbyylFvby979+4V1+N2u/H7/VitVnw+Hze240QyefRqFc8dOyh+djtDjQeFeV+IJgH49f3LKO5W6vPz8y1kvL6+jkajQaFQCKILhUIYDAampqbwhsN4L0nirf/sl7/w0Fi1+9k4fv3m+zSAvfZ+Ti+uCHHUxMQE2WwWl8tFtVolGAzicDjo7e2lVquhUChEm3pwcJDnX5PEcUd0dur1+kMNNTr4YKEjYvrg4iNLqs1Vx8GDBwGpkjj3/JcBOPDkPB6PZCoQi8UwmUwtL7BQKCQSP5pfdIlEgkpaRzKaw2jpYmLRwZ070gxTpVJRr9dFyPeRI0fEi7xSqXD79m30er0glB995zwAe48MMTp6rwX406hAk8ksa3dXYB4/Oy/s52SLRJDI1O/3MzAwIGaG8iqM7BL14lsb1BsNxocsLM6PP7IKdOfM+J0bUhX1ubN7mZycxO/3o1QqGRkZIRwOC3P2fD7P0NAQpVKJrq4uUqkUkUiEmZkZVv1R/LE0Oo2KAXWZsbHZXRZ57ch4cHCQiYkJcY2/+45kwv/k4hSZVJJIaJtwOIxWqxX7pT09PYTD4fvu8I5PT/PGS1IKzOnhflwuV1txVDsyPnjwIBqNhng8zv/0f/2fNKo1DENDnFpeEeYTMvk9qqHG+UISgM+Oz+0SR/X09AgylkcXUmD9mjDhTyQSXNn2sJGJoUbBF+cP0muyiu/oTkONDj64kKvWWq1GrVbriJg+IPhIkur9YtXe/PF5EtsZdAYtz/7G46g0SuE6VK/X8Xq9QtRhsViwWCxkMhlMJhMejwej0cjMzAy/+9XvAbB0bIRcPsvU1FSLu5Ecq7aTjFdWVsRnoe0oNy5LTjZPf+YA29vbZLNZwuGwMGZXKBTiZ+9Ugcp+tZ6tGNVqnYkJO9VKknq9PRkvLi6Kz4LBIEqlkrNnz1KpVIjH4zz/8hUAju0bIhwOo9Fo0Gg0JJPJh6pAZRu/usbMViSDRq3k9N5x1tbWWsjYbDbjdDoZHR0VGbKpVIoLFy6gUqmw2+14vV7+4m2p9Xt4oo99K/fM48PhsPCrfViYt8vj5eLdmLfP7lvA4bDjdDrZv3+/OOik02kuXLiA1WrFYDAIFXgikWBsTBJH/Wh1g2K1yoBRz5TZ2DJbvJ84amfVqVKpePVFqQvwxHOfY3JykkQiwa1bt4TyWTbUiMViLC0tiXsmBxwMDQ2RoM61WAilQsFcVYlWq32gOAqkA5XFYml5/n96QTLlOGweIBuJkwnHhDF+c2ekgw8HVCoVCoWiI2L6gOAjR6pyksvOWLVcLof3ivSSPfr0Mvlijpg/1vIyVqvVBINBjh07Jlor29vbXL16ld7eXur1OvFYgnM/uQXAqU8uMzIyInxbZb/anSpgmYxlbG1tcfEdD5VyjcHhblYOTBIKhdDr9S2t1K2tLdbX14VFYuSu1V+xWGRlRTJUeP11yapuccHGyMhIW7/anSsZzc5RarUalzeMN5hFqVDwxc8cx2Y1sLGxQSwWw2w24/V6hUJXrVaztLQkCDUSiZBKpVhYWODff1eqvA/ODRIKbD2UjKvVKtvb26ysrIiqs1SucG5dMkc4MTOAy+US4iiLxdKSzel2u3dZ5Mk7vHG1gUypTJ/ZyFCXCr/f35aMT5w40ULGW1tbkv1kOo3T6eQbF6VxwcmBXrRaLfV6XXRBdgYc3C/M2xUKEVtdA+C//zv/pSDjY8eOieuWxVGHDx8Wh7BMJkM6nRZORt+NSCK1vSYbh+b3iDHFT2Oosb6xwesJ6d/51bmDTAxKhhrN2bwdfPjQETF9cPCRIdVqtcr7779PX1+fUFPKSS49PT2MjY5x7gf/EYCZY0NUKpW27bXmF7Qc5n38+HGh2H39h5cp5itY7Ub6J0z4/X7y+TyxWIzx8XHxUnuQCnR4eJib70sEdPrJBdbX1++7ktGsSt3a2sJqtTI8PEwgECCeyHPjbrv12NFxCoUCWq2WWCxGMplsIZH7qUC9Xi9rHmnf9sDyCEa9epeNn0zGMzMz6HQ6wuEw5XKZYDCIwWCgu7ub7VCIly5IZvPH9ww+kkVeuzDvl9+/TbpYwWro4rnHDlEqFvF6vRw5cgSlUkk8HicQCLC9vU1vby+NRgOfz0d3d7docVutVn73L6TEnyPDdjRqFYMP8auVyVgWcNlsNta9W1yNSoYP/+mpY6hUSm7evEkymRTiqHg8jlarFWK0dju8/9Mf/D40Gtjn57CoVKILIn9Hd5Lx4KAkQOrv7xcz43w+z7fPSTFvT/SNsrUlZcoWi0W0Wu0j7fAGAgEyPXq213IY1VqOWAZ3GWp08OFFR8T0wcBHglQTiQSxWIxDhw5RKBQIBALkcjkxR0qlUtw8t0kqlsVg6eKxzxzBbJEIo50KVP6su7tbELRSqZQqzFckNenZz+5jdnZG7BguLS1RLpeJRqPcunVLLNkHg0F0Oh1KpZJMJsPc3ByZdJHLd/11x2YMu8RR9yPjZqKzWCy8+JOf0AAWF4c4cGAP8Xicc+fOCXGUnClaLBYxGo1tVaBzc3P8b1/6GgBHVgZ3xaq1E0eB5C97+PBhdDodjUaDd66sE05k6dKoWBztFsbsqVSKycnJtuKodn61t6NFAJ7YO0U4FNqlVJazYZtnxpFIhBs3buBwOIjH4/i2w7y+5gbguYOLwrtZrt7bzWPbGWq8GYpRazRY6HMw1WPD4/HgcDha3IS8Xi/xeByj0SgOZolEgnK5zOLiIl1dXfzke9K44PSTTz404ECuOncaary2eoNguYBWqeLXDxzDoFKzsbGB2WwWh7BGo0EoFKKrq4uxsTFxEJSva35+nv/l2ssAnOoeJhmJtpBxBx8NdERMf734UJOqvO6i0+la3GRSqRQmk0m8jBuNBl/7V1Llsu/xGaKxCNFYhFwuR7VaFbNOOVhaVgHLX8RKpYLH46Gvd5Ab5yVx08lnFlldXW1pr6nVarLZLJOTkyI2rtFocOfOHUqlEmazGY/Hw9uvbFKvNRgatXDs5F5BqPezyGunAg0EAty4eVegdGaeUqlEJBLh0KFDLUrlO3fuYDKZxGxOjqKz2+1MTEyw6Y3hCybRqJUcXBpkYmxY3N8HrWTsvMafnJecmB4/NMP83AypVErcR3lmKIujhoaGWlpVsgmFWqvjtRvSvG+PXSeqYPk+yn617cj4+PHj4rOvvP4elXqd8R4rfToVLpdLiKMGBgZIp9NoNBqy2awQR7XLD33zkmQ+8czMBKurq/cl47GxMXGN8u9is9mIx+P84I03SLulMPK/+4Uv4vP5sNvtJBKJRwo4kNvU1ykB8InhCSiVueNztiXjAwcO0NXVJQLr5Z9nMBhwOp1cuNtCfqZvuqWV3sFHCx0R018fPrSkWrqbzTk2NtZyonc6nQwMDIj2WqPRYPXWGjfflirDZ//m40xMTODxeLDZbMKPV/aRbTQaDAwMUK1WMRqNhMNhITx57ftXqZRrDIzZqGtyzM0+mgp0Z9V58W2pWnj8k8si5FqeGcr2hTabja2trV0qUNmv1mjsw+mKolIpmZ21sL293ZaMm0PI5QPDiRMnpPlwPM43fyA5/CzPOmjUyvj9fiwWC36//75JLjvzQ/UGI+9vRAF46siMIGOZMGSVq0Kh4OzZs0KgdP36dREnFw6Hec8ZIl+qYDfp+OSJg2g00tfzQeKodju8b7klQ41PrcwyPDwsqnzZUEPOzJUVs/LMuFAoYDAYWFhYIJDOcDkg7dsuG7t2EV04HL4vGcvXaLFY+NI3vwHA8P59PH7iBIVCgWvXrmE0GoVzVL1eJxKJMDo6uivgoKuri+mZGX74vbcBOGGSCPlh4ih5ribH6oHUdfgn8RVKiz0c75946H9jHXz40REx/dXjQ0mqskVe87qLvHvYbK+WzWbx+/1EN3OU8mV6h22M7unj9u3bDA8PCzKWFbaLi4t0d3ffC5J+5x2MRiNWqxW3282L35TmoIcfn2mp3h5VBRqPx1lf8+LZTKBQwBOf2ou2S5o5Hjt2TASOR6NRzp07J2aG8u5hKpVidnYWq9XK//O7kphnfs6OvcfcUhm3U4G2M4+v1xu8f0vaB/38Jw8xOTlJMBjk1q1bOBwOIY7K5XLkcjn27t0r7lk+n8fj8TA1NcXl9W3SuSI2sx59I0NPz9gDxVEKhYJ4PM7g4KAw4Qf47R9fAeDk7BA+n2SoEIvFaDQa7NmzRxxWmsVRO9vUtoEhLm9Ju7JnpodZW1vbRcZbW1ssLi62kPH6+jpWq5VarYbL5eKba07p/nabmRkapNFooFAo8Hg8aLXalvt4vzDvVCrF5deka/nir/6qqDrl+bD8HfX5fCwtLZHJZHA6nVQqFWGoodPpeDfoJVzIYVCpeXJ8Fsddq8EHiaPaOUc1Gg2OHD5MBx8vdERMf7X4UJGqXBk1Gg1UKlWLX6nFYmmZVwUCAWq1GvPz83z333wJgH1PzBIIBCS3nbvtkUwmQywWY2FhQfzdQqFAPB7n6NGj4kUe8sdYvyoFVy+fGBEzQ1kcI7cAH/SiMxgM+JxSG29p/xiFUop8cbdSOZ/Pt5jwx+NxIpEIU1NTYn78zjmp3Xro4LBQH8tpM48aqxZK1EhmSpgMOg6tjOJ0OjEajS2q1K2tLRFMHYvFxApOpVKht7eXVCrFi+9J13Jw2s5ik21eu1i1ZjJuVipfv73G1S2p2v1PHj/MWK+Vzc1NpqenMZlMxONxwuFwizjK7/djt9uJRCKo1Wrm5+f52vnr1BsN5npt6KolxtuIo3Zm3IZCIWZnZ1uUym+8LFWGv3poP0qlks3NTQKBAH19fYJ4rVaryBndOY/t7u7mkstFMRxBodXyK49/Quw9y9hJxmazWRwYZRV4Pp/nz9+SWuKnewZIJxKk76b95HI5Zmd37/DunMfuVCp38PFDR8T0V4cPDanKYd7Nu6fNYc71el2oTIPB4L3dw3UPl1+T9h6PfmqJqakp8fLc2tq6rwp0Z9Xxwjcv0GjA7MowR07uE1XHY489RrVaJRqN4nK5iEQiDA0NkU6nxRzV7/czPj6OXq/nzZek/NW55e6HqkCbqw6ZeHt6enjzzWukUhI5f+bZo5RKOS5fvkyxWGRgYEDsoSqVSgqFQlsV6PT0NM9/WUpvOXFwHOfm+kPFUV1dXWxsbDA1NYXNZqPRaBCJJXjzqtRaP7E0LA46uVwOi8WyK8mlWCzualMnEgl8RTWVWp3pgR4cepWwYpTJ2Gw2E4/HhTgKpCrvypUrWCwWsWf6J29LKzArQw7Gx8fFfXzQPHanUnk9GsebyaFWKnl6bppSJo1SqRREBwibRHl2Go/HKRaLRKNRlpaWsNls/P6fSEYj44cOsmdm5oEBB81k3NwC9m0HeTclxd/9xsphpvpH8Pl85HI5zGazECElk0nxrGWSbbfD28HHGx0R0y8eHwpSlS3yml9+kUiETCbTUnXIfrRHjhwRu57f/9IrVCs1+id6sA1JKzCyIGlhYUG0AO+nApUt8m6dl6rU059e2bUfqdVqaTQamM3mliX7ra0tbt++jcPhkIKdt1J4nFFUKgXP/tJxQag/jQp0c3OTq9ekncazZ+YxGLQEg1tMTEy0tIA3Nzcpl8vo9XrhHCVXdAsLC9QbCt48L7U4V2a7H7qS0a7qLBaL/Oita1SqdYZ6LTx5cj/VapWNjQ16enrEoUcWRzWrqZsDDmZmZvidV74PwNEJB9ls9qFkLNs4Hj9+XHx22+MjnC0A8Kn5UVwulxBHDQwMUK/XqVQqgmRHR0fbOkddTUut59MTo0T8vl1kLEf/HW5qpQYCAZRKJSdOnCCRSLB25w7v/0SanT/3uc8Si0miMjlj91ENNVxayFQr9OmNHOjpZ21tjYGBgZb7uLGxwdjYGHa7nUwmw9bWlogxbD4wdtABdERMv2h8oElVpZKUm+Pj47tUoFarVZzo6/U6Ho8HlUrFxMSEcDcKhUJc+olUpT79ayeZnp4W87iJiQnCYWmemM1mSSaTjIyMoFQqhc2gXBnHQ1nWr/tRKBX0T+no6+t7pJWM7u5ujh49Kj77wTck4th3ZJxcPkXaJbV1G42GaKXK6ST3U4FOTU3z7nmpwjx6ZHRXrNqDyHjPnj3odDri8ThvX3SSzZewmLTMjNmEIlhur7bb4W3nV3s7IKXAPHV4lkQiQTweZ35+vq04SqlUkkwmuXPnDtvb2wwMDJDL5bh8c43Lm9Kh5dkjexgeHhDP9X6xajIZy/B6vfzohpTUc3xqhP3zsy3OUY1Gg3w+z+rqqjDhlw0XFArFPUtKpZIfrUlrU/ssBkZHR3cFHNyPjOXvqMPh4N/9xTekMHKjkf/x7//XaJQqbty4QbVaxeFwiLShdDqN0Wi87w7vH7wjRc492T+G2+V6KBlLgfWFlti4Djpoh46I6ReDDzSpym2rRCIhPGK3t7eZnJwUKRrFYlHY+BmNRvGFcDqd6BQGNq9I5ginnjvAxsYG3d3d4mVst9tbdg/l9JO1tTVqtRp9fX34/X5e/obkITu7d4DDx/fvIrqHqUBLpRIbG5tcuyARxxOf2svQ0BCbm5ssLCxgsVhoNBqk02nee+89DAYDFosFt9stCN5utzM3N8f7lz0kk3mMRi3jY0YmJsbF/WonjmpnHm80GnnvmnQtN4yvyQAALYNJREFUzzy2h5mZaVKpFJcuXRI7nbI4Sq5Y5Sq42VPZ1jvAhVvSqtLCYBeVSqWF6NqRcblcRqvVtrRS/+CHb9MA5vqtKCuSQXwulxN5pnJFL6cNNcfqNc+M3/FIh6RnlqZFrFqzrWAoFKK/v79lz9Tj8VAqlTAYDHi9Xm7HEgTTWbpUSj61dM+16FEDDuRYve//WDJqWHn8LGqFNJOdm5vbRcaDg4Mt607BYBCj0Sj5NOdzvOqXWutnegYeGnAgd286u6cdPCo6IqafPz7QpCrvBlosFvL5PIFAAJVKJdqZxWKRcrnMysqKMFhIJpNi3eEHf/QGjUaDuUPjJHKRh65kgNT6lBW2IJHIhVe/BcCBx6bEzFC2FZyfnxcv1PvNYzOZDIqahWg4g96gZWZPj/Aclr+8uVyOYDDI4cOHW8hYjqKTK9Dv/+B9APYu92GzdYsFf7nl2m4eu7PqzBfK3NqQ2pGfODknyPjkyZO7WsDLy8skEglSqZRwjpJXjt66uk6tXme018TB5dlHEkftjNVzuVy8cVtqtz53YoXJyUkhjpqfnxfzyng8Trlcpr+/n0gkgt1uJ5/Pix3e9VAcTyyJVqViRF1jampml6FGsziq3cy4Xq/zu+/fAOCpuWm6NGo8Hg+BQECIo+RVrGQyKcRRMuQd3oGREdbekoROf+MLX3gkQw2ZjI8ePYpWqyWfz/OnNy5RqtUY0hkYVXfhdDoxGAzE43GGhoZ2BRw0z2M76OBR0REx/XzxgSZVkF50tVoNtVotFLbyl0CpVJLP50X6SaVSIZ1OY7fbSaVSvP39uwR0dvqRLPLazbree+Ma0UAGrU7NZ//GY6i1UtWxd+9eVCoVsZhkRh4MBrHZbBiNRoLBID09PYIcpqen+f3/n1TRLR8cot6oPrTqkFWgzSHUoVCEa9elHczPfe4I1WqV27dvE4lEhHNUNpvFZDIRDofvqwK97Q5QrtQYHeymUU6gNtsfSMYmkwmfT5otLi0tier5B29KFfyJxSGCwaD4+5VK5ZGTXFSmHpzhFCqlksf2jO0y1Ojt7WVjY6PFUKNUKnH9+nWUSiU2m+R09OeXJG/dg8MODizfM+F/kDiqmejS6TRbfj/vhaXDxrN7ZtHpdBSLxRZxVLFY5Pr165hMJhGrV6vVCIVCjI+PMz4+zj//g9+jXiyh7bHxxbOPM9RULbcz1AgEApTL5RbnqFwux6tRqcvyhbllpqenSSQSIts3kUiQSCQoFovU6/UWFXAHHfxl0BEx/XzwgSXVWk0KUa5UKiIPUn7ozQ/ZbDaLF7CMRqNBKpXib/6LT3H+xzdYOTuDy+VCoVCQzWbp6+t7JBVotVpl61YagENn58gVMqRDrWRsMBjIZDKcPHlSkHEsFuPixYv09vaSyWRIxJO88ZJkwn/26UXRkvxpVKAej4cbNyKUSjV6e80sL40QDAZ2iaOCwSAejwer1SoMFzKZjNgzNRqNvPKOtDu5MmtjcnKyrV/tg1YyGo0GN9acOLczKBTwq588isNqFASj0+lwu90oFAoiEUm5Ojc3JyrH5jb1H/7kIgAHJ/tJRrbbkvHMzO6qc3l5WVTGxVKJt775mnR/Z0aEoYJsqNHf30+1WpXCA+4TcKBQKIh3GUkVS/QY9IxrVITD4bZkfPjw4V1rQ4cOHSKdTuN2u/nTP/0zAPaeOUOtWiWfz6NWqx8YcNBs4+h0OqnqtFxJ303ZGZ8T4qjmvV5ZHCWrnDvo4GdFR8T0s+MDS6qBgDTz+1t/62/xR3/0RwwNDT3yiUmhUNDd3U33gW5WDtyrWmQXIXnJHqQXpcVioaenh0ajIWaGfX19mM0W3vqR5Igze0By43kUMq5UKpw6dUp89soLl8nnyli69QyNG3E6neRyOZLJpJip1Wo1CoXCrnlss1/t1euSbd6Zx2ZZX79zXzKW82NlMu7t7WVhYYFYLMaGc4v3b0jt1hMHRgmHwzgcDlHlPkqsms/nYz1UBmD/7BDmLsmEfycZb2xssLCwgMlkIplM4nK5CAQC4iDk8Xj48fvSjuvpuaG24qhHMdR489YGiUIZk07Lc8cOUCpIo4Ljx4+jUqnI5/O43W4CgYAQRzW3UkdHRzGbzfw/P5LUusf67Bj0emxNRHc/Mm4O8+7q6uLS9esELl8B4H/4B/8v+vv7cTqdRKNRhoaGhKFGuVwWIQPtdni/4Vml3miwbOul4N9uG3DQTMYddPDzREfE9JfHB5ZUFxcX2dra4h//43/MiRMn+Hf/7t/xuc997mf6N5VKJQ6HQ4hxAKampqhWq8TjcaLRqPANTiQS3LnuIZ3M0WXQ8NRzxzCaJDXlo6pA5arj/JsSgT/25B4mJydaxFGyQOnKlStUKhX6+/vx+6W2X71eByRiyeVKXLgoiVYmJ/QPVYG2C/Pu7e3l+y/fpNGA+ak+jh1eplAocOXKFXQ6nXCOkiv93t7eXTu89XqdhYUF/re/+DoAR+b7CQQCbcm4uerUarWUy2XhHAVw6Y6HYCKLVq1kadCC0+kUrdTZ2VkRRdYsjmpnqHEjKa3RPLlnivC21IZuPuhks1nUanWLOCoajQpLxkgkgm97m1fWpef06YUZcVh51IADeWb877/9LRq1GqaRYZ49eVLssjYfDrxeLxqNBpPJxNaWdMCRDTXGx8dRKBT8wC0dNk6Y7I8UcNBBBz9vdERMfzl8YElVoVAwMjLCn/zJn/Bnf/Zn/L2/9/d48cUX+df/+l+3CIt+HlCr1fT19e36fGSkwr/4EyO+zSjhSAgiElmlUqkWy777CU+2trYYGhzl6sW7leHZWW7fvt0ijqrX6yKSbafwRG55u91u3jnnoVqt09dn4OCBVueodvPY+4V539hIAvDEyTlRdR44cKCFjF0uF6OjoxQKBdHSDQQC2Gw2BgYGuLkZxBmIo1IqOLk8ysTovYpO9qttZ5G3s+p8/vzdlvjyFIvzc+Jgc+TIEZLJJE6nk0KhINKG8vm8OCDIa0MqjZZXbkuHjaVu6WDQLI56EBk3t1K/8vZ7lGp1Rqxmlvt78Xg8YmbZ398vWSDabFQqFZLJ5H13eF94/nkAzjz76V2xag8iY9lQI5/P875rk6uxEArgbO+wWCHK5/O7OiMddPCLREfE9NPjA0uqzfj1X/91Tp48yW/+5m9y+vRp/sN/+A/s37//F/5zNRoN83tmmN8z0/J5qVQSWau1Wo1kMondbiccDmO324nFYpTLZRYWFnjzpduUihUc/Wa0hhIzMw8XR7UzArhwUVKTfvLpvaIlHAwG6e7uxmQy4fV66enpEYKpnW1qrVaLydrP6mYYpULB/IRk/ddOHNVcGcnm8adOnUKpVJLNZvn+96U92fkRG42qRMJ6vZ54PM7ExMSuHd6d89iNjQ2s3d2cd0nz1mf2z4h/Qybj/v5+fD4fGo2GpaUlcd/X19dJp9MMDAywvb3NeW+IdLGErUvLZ08cRnO3lfrTBBxsbm7yTlBax/n0wizd3d3EYrEWQ41qtcrNmzep1WpCBSyHMFitVubm5rjhdBK+KR0U/tPPfPaR0oZ2GmooFApeDNx1qBoY5dD8HsrlMrdu3WJiYkIcvDro4K8SHRHTo+NDQaoA4+PjvPrqq/zLf/kveeqpp/gn/+Sf8Fu/9Vt/LQ9Vp9MxPDy86/N8Pk8oFCKdTqPX63G5XCi1RcanbexZGW6ZGcrCk50rGTIZy4hEIni9YTadcQAeP7uAWi0popvFUalUips3b2Kz2chkMmQyGSqVCpFIhIWFBex2O1/9jiQKmpuwMTxgf6A4ChDOUc3XmEqluHhHIsNnTy8zOTlJKBQiHA5jNpuFoUImkyGdTrO0tCQqx+Yd3ivuMPFsAYtBh6Wepb9/8oFkXK/X8Xq9DA4Osry8LK77t9+8CsBj08P47rZSZUMN2QgE2seqyWtDfaNjnH9BOiicGRlkfX29xQ5TJuP5+fldZDw9PU2lUsHtdvPP/s/fgUaD7plpDs0vUCgUxPfgUQIOtre3yefzvJeXgtE/Oz4nyHjv3r2dF1gHf63oiJgeDR8aUgWpTftP/+k/5ZlnnuE3fuM3eOmll/iDP/iDD4xYw2Aw7HKxmZho8N7rWxw9M4HLJVUg8XgcvV5Pf3+/UDnL89idsWoWiwWvr0SjAYt7BikWE9Rq7cVRzUb48trQ4cOHhU/tj1+TVmCO7B0kl8uh1+upVCr3tchrnsfKM+NEUUU0XUCv0/DUkVlhqNFsqOB2u+nt7WV5eZlkMonb7SYajVKv1+nr6yMYDPL8BWlmeHjcwfLi4iOJo5qrzlKpxM21O1zySyb8v3LiAKO9NiGOMpvNwhXL5/NhMpmEoYbJZBJORrOzs/zJpWtU63Wmuy3YlDDSxjnqYTaOmUyGt196CYDPfOELIqDe5XKJvVyn04lKpSKTyTA+Pr5rh7e3t5eEToUznUCrVDFbVVKtVlvIuIMO/rrRETE9GB8qUpVx/Phxrly5wj/8h/+QY8eO/VxETL8oKBQK/rv/8bmWzyYnJ4VAaWtri0wmg16vF7uHcit1enoanU7H669LqtT5OSsOh+ORxFHNfrWDg4O89e51QrECGo2KL3zmBCpFnVu3bomZoSyOKpVKKJXK++7w/t/feAeAE0ujuF2bDyVjq9UqREtyZZzNF3jz1osAnJobEuKoWCyGw+F4pICDbDZLsKGlXK0x1mOlX6fC6XS2EB1IVWazOKpYLHLz5k3MZrOYGX/jsnTYODM6JA5oD0sb2qlUfufGdTIeLyiV/KP/4u+QSCSo1+ucPXu2hYzlsIdoNEokEhGGGtPT0xiNRn5wU8q3PWS2MzM2LirjDjr4IKEjYro/PpSkClIA9Je//GW+9rWv/UJFTL8oKBQKrFarIBoZ9XqdWCyGXq8nEAiQy5VpNCqMjJh45ul9gqzaiaPy+Txer3cX0TmdTq7ekdrHx/dP0KVVsbHhapnRyWRsMBhQKBQtsXoqlYrx8XGqtTqvvi/56x6csT+SocbOMO9cLsd33nyfYrVOf7eJTx4/QKVSxuVyMTc31yKOkufD3d3dFItFdDpdS5v6t/9UEgUdH3FQKpXuq1SWIZPxwYMHxTWubvnwZrIAPDM3jcfjIZ/PC3FUJpNBrVaj1Wpxu9333eH9yve/B0hh5BSLaIzGtmQsz4dBImOtVsvy8jK5XI5QKMTS/7+9ew+K8r7XAP7ACggKCAiIEgFB1HgHFYyNJiZYbzEqCrtrNGfaaHrOTBNbtbZ1OuNJk7QIyZlceiaJt6TTJiO7gmAaRaNiNDGKoM1JIl4AuSkCiizLnX3f88fmfbMrkBB9YW/P55920MTfxMvju+/z/X3bgdQRY5A0fhIDlewaS0w9c9hQlajVasyePVsuMe3ZswfTp0+39bHum7u7O4KDgxEcHCx/7Y3/GYeuri75o1RBENDQ0IDAwEB5p2hjY2O397HSfbVjx8bipf89CwBImDYK165d61M5Slqr5+PjA6PRiMOnLqDR2AZfbw+Mf2gYysrK5Nt9/P39e5zh7enmqG9qzZfwJ02Lwe3b9Vbbhvz9/eWPgKV3xu3t7aisrER1dbUcdJW19ThXan66fnrGJISFmT9i/bEFB5YXaly/fh1HyszvYWeEj8SE0ea1ar6+vnL4mUwmlJSUoL6+Xv5IFzCP2phMJkycOBFubm744hPzztPHn3wSkZGRP7rg4Nq1a1Y3R3l7e6OtrQ2JsROw+LtyFJEjYInJmsOHKmAuMeXn5+PVV19FUlIStm3bhhdffNGpflIHDRrUbcYWgLw0vLGxUb42DzA/JQ4fPhwxMTH46lI16hua4T14EGJH+yEycrT8z/dUjpLmdS1bwIIg4ItvzCGWlDAOMdHRMBqNuHz5Mvz8/GA0GmE0GtHZ2Sl/VCy9S7T8mFrl5Y0vis2bV8YHesLNzc2qHCU1lS3DuL6+Hp6enpg3b578td3Hz0AQRcQM94dHRytKS0vlbUOWF9f3tuBAmuE9fdpc3vr52CgUFxd3WzheVlYmLzOQvnb9+nX4+/vDw8MD5eXl+OTsl2itrYWbhwf+a9VqdHV1wcPDo8dylLTg4MeucSRyJCwxfc8pQhUwvzz/05/+hKSkJKxZswbHjh2zqxJTf/Hw8EBoaKh8UYKko6NDXpze3GREwpQQ+Hh7wdNzkPwxTUlJidUmF+kjYF9f3277Q7sE4N9l5mvznpg5Vi5HxcfHy99P+gj4kUcekZ+qpaCT7iYuqCxHp0nAqGE+mDPtYflO3Z4WHPT2zrikpAQnr5lvXFoWNxFRUVHyzVGTJ09Gc3Mzqqur5TuhpW1Dfn5+6OzslIOu5HYDrtTfwSB3d0QPcsPYsWN/dNtQT9c4fvT7rQCA6NmJmDB2LOrq6lBWVgZfX1+5HCVdku/r69vtfey9M7xEjoolJicKVUliYiIuXLjgECWm/uTp6Sn/hSIqCpg9y9zObW1tRW1tLe7evYvBgwfL5SgPDw8YDAbExMR0C7qHHnoIZ4tr0NbehbDhvlC1N8B7WGi3+2oty1FBQUHyyjqpGdzV1YWXss4AMBeUpHJUc3MzVCqV1fKA3mZ4KyoqMDgoBJdu3YG7mxvmjX0Ily5dsipHSR+lWpajBEHA119/DVEU5aD76NurAIBpwYGY9vAE+Tf+D5Wj7n3qrL55E9+cOg0AWKNWo6OjA01NTfK2GcAcxsXFxXI5Sro5qqWlBVFRUfLYEJEzcPUSk9OFKuD4Jab+5O3tjfDwcISHh8tfE0URRqMRgiDIdy5L1wXGxsbC29sbxwrMATR9TKDVBfeW99VahnFP1zie/79vUVzTCABIeXwmwgJ8UVpaiqCgILi7u8sfXdfV1UGlUsn3IqtUKvnJeMKECdhz6rvtQyOD0dpwu0/bhiorKzF+/HiroPssz7xYYNH4GJSXl1vdHOXr6wuDwYChQ4eitLS0xwUHXl5eyP/6a3QaDFAN8cHynz3a64UaU6ZM6TY2NHnyZJf5g4ZciyuXmJwyVCXOVmLqL25ubj1u+4mOjkZTUxOqqqrwxNQRGCS0Yc7EcFRWVsLf3x+tra3ypfCWd+r2tsy71CBABDA5IhTDvruEv6cwnjRpEoYMGYK2tjb5o1RprV5JSQk+vngJAPD42If6vODg3qbyuesVqGtth4+HBxZPfhjtzc3yzVEqlQomkwnV1dW4ePEiRowYAYPBgKamJgiCAIPBIL+3/fuH/wQAxM6ejdDhw/u0bcjLy8vqnTGRs3LFEpNThyrgGiWm/uLm5gY/Pz/4+fkhIiICTzxi/guJIAhobGxEc3MzPDw8rMpR0v5YKVAt94emHTEve08YE4La2lqr/aE9hXF7eztaWlrkoAOAi2WVqLxrhIe7O6aG+KGsrAydnZ24efMmIiMj5Tucf2yG96sm8yX882MiUXvjRrem8q1btyCKIubOnSt/ra6uDg0NDQgLCzPfr9zSgkvfffSrWblSfgru64IDIlfgaiUmpw9VwHVLTP1FWg4eEBBg9XXpHmTpMgeDwfD9NpaaOkSFDMOV6nrMnxyFyFHdy1GWa9V6u8bx4wvmp9RHYyMwcVysHMaPPvooWlrMK98MBoMcfg0NDfI7nerqaowZMwZuKhWOXDHP207y8erThRolJSXyHb+STek7ILS1wTMwAP+ZkoqGhgb5fuDg4GBUVVXJs6atra1WT/RErsZVSkwuEaoSqcT0wgsvICEhAX/729+wbNmyH/8HqU9UKhWCgoIQFBRk9XVptV60vwemRwyH2NEmP91KF0bc+xFwT/tDhwcH40yl+eL7n0+KQUlJiVUYDx1qXhIQEBBgdT/wtWvXcOfOHYSEhKCqqgpFt+rR0NoGX49BWPlIAjy/ez/8UxYclJaW4tChQwCAWQsWwMvTE01NTYiJibEK40uXLnVrUxO5KlcoMblUqALmEtP777+Pffv2ySWmtLQ0lpj6kbRab8mjflj+uAo+Xt/f3+vl5YUbN25AFEWIooiamhqryxOk97HR0dH4qroWtYZmDPXywHChDeHh0X0K45CQEHmMRRRFvFFovpbwiehIVH93Cf+tW7egUqkQEhKC5uZm+Pr6oqampscFBwaDAT4BAagoNBem/mP16l4v1IiJiZHDmIicv8TkJoqiaOtD2Ep5eTnWrl2LW7duscRkR9ra2uT1eXfv3oW/vz/c3NyQe6kC/ygsxuPRo5CmWdKtHGX5LtcyjC2byldKS/Ff+WfR0tmFD1KfxoThgVZhbDKZUF9fjytXrsDf3x9Dhw6V99oajUaEhIQgODgYG9N3YOf2/4bPyDBcOJFv1aaWylERERED/x+PyIEIgnnjliiKcHd377cSk/TvHggu96RqyXKdXFJSEv74xz9i48aNTvG3JUc2ePDgHlfrrQ8NxYxRQXC3uJu4oaEBQ4YM6bUcJbl58yba29tRM2gwWjq7MMrPFyM9VKioqLAqR0mXVViu1WtpaUFpaSn8/f3lm6OyMzMBALPmz5dvuerpfSwR9c4ZS0wu/aRq6ezZs9BqtRg9ejR27tzJEpODkGZs79y5A0EQ0NTUBJVKBR8fH/j7+8PPzw8lJSUICQlBQEAANuYcRn5pOVbFRmHDzGlyWxj4PowtA126xtHyqfN0USF+PnceIIr45NRnGDsiDHfu3EFHRwemTp3q0H8gENmK9HEwAMVLTAP5pMpHsu8kJCTg4sWLiIiIQEJCAnJzc219JOoDacY2IiICUVFRmDJlCiZOnIjIyEi4u7ujpKQEKpUKd+/eRUlpKeoNBgBA8vQpcqB2dnaiuLgYgYGBcqAKgoArV65g8ODBcqBKLeC/ffghIIoIHBuDeXHx6OrqQkBAAOLi4hioRPdJKjG5u7vL71oFQbD1sX4yPqn2QCoxrVixAjt27GCJyYmYTCZcrb4BL5P5b8RSOWrkyJEICgrC0KFD0dTUhJs3b3Z7HyvdHBU1Ix6NpWVQb/ottmjXWJWjiOjBSe9aAShSYhrIJ1WGai+kElNNTQ327t3LEpOT6+rqQkNDA4xGIxobG+WbkaTbYERRRGRkJE5eKMKSR+cC7u44cOgQnpwzh7OnRP1AyRITQ9VOmEwm/OUvf8Grr77KEpOL6uzsRF1dHdrb2wEAeQXn8Jf0dHh4euLa51/Y+HREzk8qMbm5ud13iYmhamcsS0zvvfdej81Ucn7S+x13d3e0dXRgMOdPiQbEg5aYWFSyM5YlpsTEROTk5Nj6SGQj0m9kBirRwLm3xNTZ2Wm3JSY+qf5ELDEREdnO/ZSY+KRqx1JTU/HVV1+hpKQEc+bMwYULF2x9JCIil+Hu7i6/V7XHp1aG6n0YPXo0Tpw4gXXr1iEpKQmvv/66Xf2kEhE5M+nJU6VSQRAEdHR0yE+vtsaPfx/Q2bNnsWaNeVZx586dLDEREQ2gvpSY+PGvA0lISMCFCxcQFRXFEhMR0QCztxITn1QVtG/fPvzqV7/C8uXLWWIiIhpgvZWY+KTqoFJTU/Hvf/9bLjEVFRXZ+khERC7DHkpMDFWFSSWmZ599FgsWLMBrr73GEhMR0QDpqcQkvXMdkB9/wH4kF6JSqbBt2zbk5+fjgw8+wNKlS1FdXW3rYxERuQx3d3fcvn0b7777Lh577DGcOnVqYH7cAflRXNSsWbPkElNCQgIOHDhg6yMRETm1xsZG/P3vf8eyZcswfvx45OTk4JlnnsHDDz88ID8+i0oDJDMzE88//zyefvpp7Nixg6vCiIgU0traisOHDyMzMxN5eXkYN24c1Go11Go1IiMjB3STFEN1AFVUVGDt2rW4ceMG9u7di7i4OFsfiYjIIXV2duLkyZPIzMzEwYMHMXz4cKSmpkKr1WLixIk2W8nIUB1gJpMJf/3rX/HKK6/gD3/4AzZu3Hhfq4yIiFyNIAg4e/YsdDodsrKy4O7ujtWrV0Oj0SAxMdEuVnMyVG3k3Llz0Gq1GDVqFHbt2sWbmIiIeiCKIr755htkZmZi//79aGhowIoVK6DRaDB//nwMGjTI1ke0wlC1oaamJrzwwgvIycnB22+/jeXLl9v6SERENieKIq5fvw69Xg+dTofS0lIsXrwYGo0Gixcvhre3t62P2CuGqh1giYmIXJ0oiqitrUVWVhZ0Oh2Kiorw+OOPQ6PRYMWKFfD397f1EfuEoWonWGIiIlfU2NiInJwc6PV6nDx5ErNmzYJarcbq1asRGhpqs8LR/WKo2hHLEtPvf/97/OY3v2GJiYicjuUIzJEjRxAbG4vU1FRoNJoBH4FRGkPVDrHERETOpqcRmJSUFGi1WkyaNMmhg9QSQ9VOscRERI5OEAScO3cOmZmZyM7OhpubG1atWgWtVms3IzBKY6jaOZ1Ohw0bNrDEREQOQRRFfPvtt8jMzIRer0dDQwOWL18OrVZrlyMwSmOoOgCWmIjInt07AlNSUoIlS5ZArVZjyZIldj0CozSGqoNgiYmI7Mm9IzCFhYWYP3++w43AKI2h6mDOnTuHNWvWYOTIkSwxEdGAa2xsRG5uLnQ6nVOMwCiNoeqAjEYjfv3rX7PEREQDorW1FXl5efIWmLFjx8pbYKKiolw+SC0xVB2YVGJatmwZ0tPTWWIiIsV0dXXJIzC5ubkICgqSt8A40wiM0hiqDq6yshJr165FdXU19uzZg/j4eFsfiYgclDQCI22BAYDVq1c79QiM0hiqTsBkMiEtLQ0vv/wyS0xE9JO4+giM0hiqTqSgoABarRYjR47Ezp07ER4ebusjEZEdEkUR5eXl8gjMtWvX5C0wrjYCozSGqpMxGo144YUXcODAAbz11ltYsWKFrY9ERHZAFEXU1dXJIzDnz5+32gIzbNgwWx/RKTBUnRRLTEQEAAaDQR6Byc/Px6xZs5CamoqUlBSOwPQDhqoTk0pMVVVV2Lt3L0tMRC5CGoHR6XQ4fPgwR2AGEEPVyVmWmLZu3Yrf/va3LDEROSHLEZiDBw8iMDBQ3gIzefJkBukAYai6CKnEFBYWhl27drHEROQEBEFAQUGBvAVGFEV5C8zs2bM5AmMDDFUXwhITkeMTRRGXLl3Cvn37rEZgNBoNnnjiCY7A2BhD1QXpdDo8//zzWLp0KTIyMlhiIrJzliMwer0eV69exeLFi+UtMD4+PrY+In2HoeqiWGIism+9jcCo1WqsXLmSIzB2iqHqwkwmE3bs2IE///nPLDER2QnLEZiTJ09ixowZ8haYESNGsHBk5xiqxBITkY21tbXJW2AOHz6MmJgYaDQajsA4IIYqAfi+xJSdnY233noLK1eutPWRiJxaV1cXPvvsM3kLTEBAgLwFhiMwjouhSlb0ej02bNjAEhNRP5BGYKQtMByBcT4MVeqmsrIS69atQ2VlJUtMRA9IGoHJzMyETqfDnTt3rLbAeHh42PqIpCCGKvWIJSai+yeKIioqKuQtMFevXsWiRYvkLTAcgXFeDFX6QQUFBVizZg1GjBjBEhPRD5BGYLKzs6HT6VBQUIDHHnsMGo2GIzAuhKFKP4olJqLeGQwGHDx4UN4CM2PGDHkLDEdgXA9DlfqMJSYiM2kERtoCEx0dLW+BGTNmDIPUhTFU6SexLDHt2bMHM2bMsPWRiAZETyMwKSkp0Gg0mDp1KoOUADBU6T6wxESuQhAEnD9/HpmZmVYjMBqNBo888ghHYKgbhirdN5aYyBlZjsDo9Xrcvn3bagsMR2DohzBU6YEYjUa8+OKLyMrKYomJHNa9IzBXrlyRt8AsXbqUIzDUZwxVUsT+/fuxfv16LF26FOnp6fD19bX1kYh+kCiKqK+vR1ZWFvR6Pc6dO4fHHnsMarUaycnJHIGh+8JQJcVIJaaKigrs3buXJSayS/eOwMTHx0OtVnMEhhTBUCVFmUwmpKen46WXXmKJiexGW1sbjhw5Im+BGTNmDNRqNTQaDUdgSFEMVeoX58+fh1arRWhoKHbv3s0SEw24rq4unDp1CpmZmcjJycGwYcOQmprKERjqVwxV6jeWJaY333wTycnJtj4SOTlBEFBYWCiPwJhMJnkLDEdgaCAwVKnfSSWmJUuWICMjgyUmUpQ0AqPT6aDX61FfX4+nn34aGo0GTz75JEdgaEAxVGlAVFVVYd26dSgvL2eJiR6YKIqorKyEXq9HZmYmrly5Im+B4QgM2RJDlQaMZYnpd7/7HTZt2sQSE/WZNAIjbYE5d+4c5s2bJ2+BCQgIsPURiRiqNPAsS0y7du3CQw89ZOsjkR1ramqSR2BOnDiB+Ph4eQtMWFgYC0dkVxiqZBNGoxEbN27E/v37WWKibtra2nD06FFkZmbi0KFDHIEhh8FQJZtiiYkk0giMTqfDgQMHOAJDDomhSjZnWWLas2cPZs6caesj0QDpbQRGo9Fgzpw5HIEhh8NQJbvAEpPrEEURxcXF8hYYaQRGrVYjKSmJIzDk0BiqZFcKCwuh1WoRHByM3bt3s8TkJCxHYHQ6HS5fvswRGHJKDNV+Iooi3wHdp+bmZrz44ovYv38/3njjDaxatcrWR6L7YDkCo9frcfbsWY7AkNNjqPaT0tJSvP7669ixYwf/Fn6fWGJyTNIIjF6vx/HjxxEXFydvgeEIDDk7hmo/KSoqwowZM1BSUoKoqCg+ud4nlpgcQ3t7u7wF5tChQ4iKipJHYKKjo/lrn1zGIFsfwNlI4VlfX49x48bB29sbAPiHyn0KDw/H0aNHkZGRgUWLFrHEZEe6urpw+vRpeQuMv78/UlJS8Pnnn2PatGn8NU8uiaGqMOkPksrKShgMBlRUVODQoUPIy8vD3bt38e677yIiIsLGp3QsKpUKW7duxZNPPgmtVotPP/2UJSYbEQQBRUVF8ghMV1cXkpOTkZubyxEYIvDjX0V0dnbCw8MDV69exRdffIEbN24gLS0NBoMBCQkJ8PLywrhx4zBr1iwsXrwYYWFhtj6yw2KJaeBJIzA6nQ46nQ51dXXyFhiOwBBZY6gqIC0tDbt370ZDQwNCQ0ORnJyMHTt2QK1W4+2338aQIUO6/TMmk4kfYT6ArKwsPPfccywx9RNpBGb//v3IzMzE5cuXsXDhQnkEpqdf00TEUFXMwYMHMW7cOISHh8PDwwNLly7FqlWrsH79egDmu0w/++wz5ObmIi0tjX8oKaCqqgrPPvssysrKsHfvXpaYHpAoirh9+7a8BYYjMEQ/HV+APCCTyQQAeOqppxAbGwsfHx+Ioojz58/LJSXA/K511KhRAICZM2eioKDAJud1JlKJ6fnnn8eiRYuQlpYm/3xQ3zU1NeGjjz5CcnIyYmJi5P9fXl6Oo0eP4pe//CUDlaiP+KTaDwoKCrBkyRIcOnQI8fHx3b79/fffR11dHbZs2WKD0zkny5uYdu3ahdGjR9v6SHatvb3dagtMRESEPAITExPD5i7RfWL7tx/MnDkTb775JoYNGwbg+/en0v8ePnwYISEhtj2kk4mPj0dRURE2btyIxMREvPHGG1i9erWtj2VX7h2B8fPzQ0pKCk6fPs0RGCKF8ElVYb1d8iAIAnJzc1FYWIhjx44hJycHwcHBNjih88vKysL69euxaNEivPbaay5dYpJGYHQ6Hfbv34/Ozk55C8zPfvYzjsAQKYyh2o/Ky8vxzjvvoKWlBd9++y1MJhNSU1ORlJSEMWPG2Pp4Tq26uhrr1q1zyRKTKIq4fPmyPAJTW1vLERiiAcKPf/tRXl4e0tLSsG3bNhw9etTq2wRB4FNCPxo1apTVTUxbtmzB5s2bnXaMSRRFVFVVyVtgiouLsXDhQrzyyiscgSEaQHxS7WdHjhzByy+/jPnz52P79u22Po5LkkpMw4cPx+7du52mxGQ5AqPX6/Hll19i7ty50Gq1HIEhshE+KvUTQRAAAAsWLEB2djYqKytx8eJF2x7KRUklpocffhiJiYnQ6XS2PtIDkUZgVq1ahZiYGHz44YdYuXIlrl+/jk8//ZQjMEQ2xCfVfmZ5cxI/8rW97OxsPPfccw5XYuIIDJFjYKgOAK59sy+WJaY9e/Zg1qxZtj5Sj0wmE06fPo19+/ZZjcBotVqOwBDZKYYquSRBEJCRkYHt27dj8+bN2LJli12UmARBwIULF+QtMB0dHUhOToZWq+UIDJEDYKiSS7OHEpPlCIxer8etW7ewbNkyaDQaLFiwgCMwRA6EoUour7m5GRs3boROpxuwm5ikERhpC4w0AqNWq/HUU09xBIbIQTFUib5jWWLKyMiAn5+fov9+aQTmwIED0Ol08giMWq1GcnIyAgMDFf3xiGjgMVSJLPRHicloNOLjjz+GTqfDsWPHMH36dKSmpiI1NRUjR45k4YjIiTBUie6hRIlJGoHR6XT45JNPMHr0aGg0Go7AEDk5hipRL4qKiqDRaPpcYjKZTPj888/lERhfX1+kpKRAo9Fg2rRpbO4SuQD+LifqRVxcHIqKijBx4sReb2ISBAGFhYXYunUrxo8fj7Vr18LLywvZ2dkoLS1Feno64uLiGKgEo9EIwLyCj5wXn1SJ+kAqMS1cuBAZGRmoqamRt8DU1NTIW2A4AkM92bVrFzIyMnDixAmEhYXBZDLh008/RWxsLKKionjbmhNhqBL1UXV1NdasWYMzZ84AABYuXAiNRsMRGOrmk08+wYQJExAVFQUAmD17NpKTk7F582Z8+eWXWLt2LTo6OvDMM8/glVde4a1rToShSvQTCIKAzZs3Y9u2bQgMDOQfhNRNWVkZli1bhkGDBuGdd96BSqVCSkoKzpw5g9DQUBgMBhw/fhwhISF488038f7772Pw4MG2PjYphKFKRKSwW7duYdOmTcjLy0NycjK6urqwa9cuq+9z/fp1bN++HWq1GgsXLuRHwE6CP4NERAoLDQ3FBx98gAULFuC9997DnDlz5G+T1kIGBwdjypQpOHbsmK2OSf2AoUpEpDBp5eP48eMBAHv37sU///lPq+8zZMgQTJ8+HSUlJWhqauJTqpPgzyIRkcJUKhVu376Njz76CDqdDnPnzsWGDRtw8OBBdHR0yN8vMTERY8aMQV5eHi5duoSWlhYbnpqUwFAlIuoH+fn58PT0xLx58/Dyyy9j3bp12LRpE/Lz8+Xvc/z4cfzrX/9Camoqtm3bZhW45JhYVCIiUpA0HrNgwQJMnToV6enpAICWlhaIoiiPX3V0dOAXv/gF4uLi8OyzzyIoKMiWxyaFDLL1AYiInImbmxvOnDmDpqYmPPPMM/LXfXx8AJiLSm5ubvD09MQ//vEP+dulAhPfrTo2PqkSEdmQyWSCu7s7Z56dBP9KRETUT0wm049+H5VKxUB1InxSJSIiUgifVImIiBTCUCUiIlIIQ5WIiEghDFUiIiKFMFSJiIgUwlAlIiJSCEOViIhIIQxVIiIihTBUiYiIFMJQJSIiUghDlYiISCEMVSIiIoUwVImIiBTCUCUiIlIIQ5WIiEghDFUiIiKFMFSJiIgUwlAlIiJSCEOViIhIIQxVIiIihTBUiYiIFMJQJSIiUghDlYiISCEMVSIiIoUwVImIiBTCUCUiIlIIQ5WIiEghDFUiIiKFMFSJiIgUwlAlIiJSCEOViIhIIQxVIiIihTBUiYiIFMJQJSIiUghDlYiISCH/D5M5czqsY2LHAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure().add_subplot(projection='3d')  # 创建 3D 图形并添加子图\n",
    "ax.plot_wireframe(xx1, xx2, ff_x, rstride=1,  # 绘制线框图\n",
    "                  cstride=1, color=[0.5, 0.5, 0.5],  # 设置线框颜色\n",
    "                  linewidth=0.2)  # 设置线框宽度\n",
    "ax.contour3D(xx1, xx2, ff_x, 20)  # 绘制 3D 等高线\n",
    "ax.contour3D(xx1, xx2, ff_x, levels=0, colors='k')  # 在 z=0 处绘制特殊的等高线\n",
    "\n",
    "# 设置坐标轴参数\n",
    "ax.xaxis.set_ticks([])  # 去除 x 轴刻度\n",
    "ax.yaxis.set_ticks([])  # 去除 y 轴刻度\n",
    "ax.zaxis.set_ticks([])  # 去除 z 轴刻度\n",
    "plt.xlim(-4, 4)  # 设置 x 轴范围\n",
    "plt.ylim(-4, 4)  # 设置 y 轴范围\n",
    "ax.view_init(30, -125)  # 设置视角角度\n",
    "ax.set_xlabel('$x_1$')  # 设置 x 轴标签\n",
    "ax.set_ylabel('$x_2$')  # 设置 y 轴标签\n",
    "ax.set_zlabel('$f(x_1,x_2)$')  # 设置 z 轴标签\n",
    "ax.set_proj_type('ortho')\n",
    "plt.tight_layout()  # 调整布局以适应图形窗口"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f498444-653c-4fe8-a949-0a86f3e2308b",
   "metadata": {},
   "source": [
    "## 2D 可视化`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5bae7580-160e-47a3-a88d-645597bb3190",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()  # 创建 2D 图形\n",
    "plt.quiver(xx1_, xx2_, V[0], V[1], color_array,  # 绘制梯度矢量场\n",
    "            angles='xy', scale_units='xy', scale=2,  # 设置矢量的角度和缩放\n",
    "            edgecolor='none', facecolor='b')  # 设置矢量的颜色\n",
    "\n",
    "plt.contour(xx1, xx2, ff_x, 20)  # 绘制等高线\n",
    "plt.contour(xx1, xx2, ff_x, levels=0, colors='k')  # 在 z=0 处绘制特殊的等高线\n",
    "\n",
    "ax.set_aspect('equal')  # 设置图形的纵横比\n",
    "ax.xaxis.set_ticks([])  # 去除 x 轴刻度\n",
    "ax.yaxis.set_ticks([])  # 去除 y 轴刻度\n",
    "ax.set_xlabel(r'$x_1$')  # 设置 x 轴标签\n",
    "ax.set_ylabel(r'$x_2$')  # 设置 y 轴标签\n",
    "plt.tight_layout()  # 调整布局以适应图形窗口"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
